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What is the probability that greater than 30 batter. What is the reliability function? The probability that an electrical switch, which is kept in dry conditions, fails during the guarantee period, is 1%. There is a 5% chance that an electrical storm will occur on, A device has a constant failure rate of 0.7/year. C) Intersecting lines form opposing angles. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? D' = electrical connector is not kept dry (i.e., is wet), F = connector fails during warranty period, F' = connector does not fail during warranty period. Statistics and Probability questions and answers, The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. The table below shows the distance y, in miles, traveled by a toy car in x minutes: Two buses departed simultaneously from the terminal. The probability of a machine failure is 0.1, and each machine failure is independent. HWmo_!\bZ\p(sC[g"JZ[%F"erpyyg:;yOdvu$'XlsNO^t'%'t*T Cvu~v-6iD)Ws0aBNe bOf?3{Wv1xS.ai~Z8z+@Hc:EVYYe~'q{d If the connector is ever wet. The probability that a certain type of computer will have a defective part is 0.36. What is the probability of a single switch experiencing at least one f. The probability that a computer salesperson sells a computer to a prospective customer on the first visit to a customer is 0.40. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Which reason is the justification for the statement that angle A angle B? Get the app to make the most of your account. A company owns 400 laptops. The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty period of a portable computer. Assuming an exponential distribution: i. A company owns 400 laptops. P(A \text { & } B) = P(A) \times P(B | A) It is known that for a laboratory computing system the number of system failures during a month has a Poisson distribution with a mean of 0.8. D) Lines intersect at one point. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. A random sample of such 1500 components is taken. b. Solved > The probability is 1% that an electrical connector:212948 Find the requested probabilities. Calculate the probability that the equipment will fail for the first time between the second and third year. Suppose that a disk drive fails in a given day with probability. ScholarOn, 10685-B Hazelhurst Dr. # 25977, Houston, TX 77043,USA. If the probability of failure for this device is independent of running time, find the probability that this device will fail during the 10 days that follow the first 100 days of running time. If the connector is ever wet, the probability of a failure during the warranty period is 5%. 1.4% of connectors fail during the warranty period. (a) What is the probability that the device will fail during the second year of operation? Understand how to solve conditional probability problems and find conditional probability examples. copyright 2003-2023 Homework.Study.com. Kindly login to access the content at no cost. This E-mail is already registered with us. The probability is 1% that an electrical connector that is kept dry What is the probability of a single switch operating for 1,000 hours w, The warranty on a machine specifies that it will be replaced at failure or at age 3, whichever occurs first. (a) What is the probability of failure within a 100-hr warranty period? If the connector is ever wet, the probability of a failure during the warranty period is 5%. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors do not fail during the warranty period? b. a. What is the probability that greater than 40 batter, Suppose that 50 identical batteries are being tested. Learn what the conditional probability of an event occurring is. The probability is 1% that an electrical connector that is kept dry The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Find the probability that at least 1 machine out of 10 will fail. A store received a large shipment of Android smartphones. If the connector is ever wet, the probability of a failure during the warranty period is 5%. Advertisement A. a flower being pink and a flower being a rose are independe. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Find the probability that a sample of size 3, drawn from the 8, will not contain a defective computer. A). Of these, 60$\%$ can be repaired, whereas the othe, All right, so you've got a um 90 Probability or .9 chance of the connector being kept dry and if it is kept dry There's a 1% or .01 chance. Tf 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the . An online computer store sells 6 such computers. If the connector is ever wet, the probability of a failure during the warranty period is 4%. (Solved): The probability is 1% that an electrical connector that is What is the probability that at least one of them will have a defective part? (a) If you buy one spark plug, what is the probability that it is not defective? Use the normal approximation to Binomial to find the probability that among 160 such compone, The probability that a particular consumer electronics product will fail during its warranty period is 0.02. Our experts can answer your tough homework and study questions. What is the probability that no laptops in the sample space have the defect? the probability of a failure during the warranty period is 5%. A) Angles 3 and 4 are complementary angles. If the switch is humid, the probability that it will fail during the guarantee per, A computer manufacturer has established that 4% of its new laptops sold are returned for defective repair within their 12-month warranty period. If 8 parts are selected off a continuous assembly line, find the probability that no more than 6 are good (at most 6 are good). Suppose that 90% of all connectors are kept dry. Find the probability that a sample of size 2 ,drawn from the 8, will not contain a defective computer. A) Vertical angles are congruent. Find the probability that the system does not fail, if the number of redundant components is (a) 3. Determine the probability that a) A co, Livelong, Inc.'s computer monitors have a failure rate of 0.000035 units per hour. Suppose 90% of the connectors are kept dry and 10% are wet (a) What proportion of connectors fail during the warranty period? However, at one station, the probability is 0.01 that a defective part will arrive in a one-hour period. Product number Defective Non-defective A2345 35 200 A55. So that's the probability that the connector is kept dry and it fails. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. 60 C. 65 D. 63, Suppose that the probability of failure of a component is p 0.4. Suppose the time until failure of the appliance failing has an exponential distribution with mean 8. a. (b) If you buy 4 s, Find the number of successes x suggested by the given statement. {/eq} and {eq}B If the probability of failure for this device is independent of running time, find the probability that this device will la. Solved The probability is 1% that an electrical connector | Chegg.com Electricity power failures occur according to a Poisson distribution. 13/200 17/80 21/80 17/40, Has a base of 3, is reflected over the y-axis, has a horizontal shift right by 5 and an asymptote of y=-3. (a) What is the probability that a computer will fail within 12 months? A. Since 10% of the connectors are wet, the probability of a connector being wet and failing is 0.10 * 0.05 = 0.005 (0.5% of all connectors). Consider a sample of 10,000 computers. PDF Homework #3. Solution. Spring 2001 IE 230 Textbook: D.C. Montgomery and Use the normal approximation to Binomial to find the probability that among 100 such componen, The warranty on a machine specifies that it will be replaced at failure or at age 3, whichever occurs first. Which reason is the justification for the statement that angle A angle B? You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Copyright 2023 SolutionInn All Rights Reserved. If a connector is dry, an 1% probability of failling. If 10 appliances are sold. Assuming an exponential distribution, what is the probability of failure wit. You can specify conditions of storing and accessing cookies in your browser, The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. A shipment of 8 computers contains 4 with defects. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. (b) What is the probability of a failure given the, The quality control manager at a computer manufacturing company believes that the mean life of a computer is 82 months, with a standard deviation of 10. Get access to this video and our entire Q&A library, Conditional Probability: Definition & Uses. Expert Answer A shipment of 8 computers contains 2 with defects. find the probability. You randomly select 20 laptops for your sales people. b. Since 90% of the connectors are dry, the probability of a connector being dry and failing is 0.90 * 0.01 = 0.009 (0.9% of all connectors). The probability is 1 that an electrical connector. Each laptop has an 8% probability of not working. {/eq} and two random events, then, {eq}P(A \text { or } B) = P(A) + P(B) - P(A \text { & } B) \\ A random sample of 20 laptops from this manufacturer is selected. Authors: Douglas C. Montgomery, George C. Runger, Search Textbook questions, tutors and Books, Change your search query and then try again. If the connector is ever wet, the probability of a failure during the warranty period is 5%. Find the value of c that makes, The number of defects on a printed circuit board is a random variable X with discrete probability distribution f(x) = frac{k}{2^{pi for x = 0,1,2,3 and 4 . What is the probability that appliance will fail within 1 year? a) Find the probability that there are no failures in a given day. You randomly select 20 laptops for your salespeople. If a random sample of 20 new cars is selected, what is the probability that more than 6 will need a warranty repai, 1) A retail store has 200 new computers contains five defectives. , Which is an appropriate statement about angles 3 and 4 in the diagram below? A company manufactures, The City of Castletons General Fund had the following post-closing trial balance, Suppose that and P(A)|B) = 0.2, (PA|B) = 0.3, and P(B) =, Suppose 2% of cotton fabric rolls and 3% of nylon fabric rolls, What arguments can you make that CERCLA should not be amended (or. SOLVED:The probability is 1 % that an electrical connector that is kept dry fails during the warranty period. /Length 2408 What is the probability that a sample of 4 of the 8 computers will not contain a defective computer? (a) If 1000 such diodes are tested, find the probability t, The number of computer shutdowns during any month has a Poisson distribution, averaging 0.25 shutdowns per month. What is the probability of fai. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. Kindly login to access the content at no cost. D) Lines intersect at one point. If the probability of failure for this device is independent of running time, find the probability that this device will fail before the 10 days that follow the first 100 days of running time. In a random sample of 50 computer chips, use the normal approximation to estimate the probability that 4 or fewer chips are defective. SOLVED:The probability is 1 % that an electrical connector that is kept If the connector is ever wet, the probability of a failure during the warranty period is 5%. If X is the number of defective pieces and Y is the nymber of non-defec, Spark Plugs: Assume that 2% of all spark plugs are defective. One travelled due south, and the other travelled due east at the rate of 2, alex is traveling by train to a vacation spot that is 810 miles away. A shipment of 8 computers contains 2 with defects. The component has already been in operation for its mean life. A component has an exponential time-to-failure distribution with a mean of 10,000 hours. Pages 52 Ratings 83% (6) 5 out of 6 people found this document helpful; This preview shows page 8 - 11 out of 52 pages. Among 12 laptop computers, seven are good and five have defects. A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables. Download the App! a) What is the probability that there wi. [Solved] The probability is 1% that an electrical | SolutionInn If the connector is ever wet, the probability of a failure during the warranty period is $5 \% .$ If $90 \%$ of the connectors are kept dry and $10 \%$ are wet, what proportion of connectors fail during the warranty period? The probability 1% that an electrical connector that kept dry, The probability 1% that an electrical connector that kept dry : 79424. If the connector is ever wet, the probability of a failure during the warranty period is 4%. Unaware of this, a customer buys 6 laptops. A 90% probability that a connector is kept dry. A shipment of 8 computers contains 3 with defects. Please subscribe to view the answer, The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty pcriod of a portable computer. The probability that a computer i, Assume that there is a 50 chance of a hard drive damage if a power line to which a computer is connected is hit during an electrical storm. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period 2-73. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. The probability that an electronic component will fail in less than 1,000 hours of continuous use is 0.30. (Solved) - The probability is 1% that an electrical connector that is The value of the slope of the graph is 0.5. the slope of the line represents how steep the line of your graph. Question : The probability 1% that an electrical connector that kept dry : 79424 The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. The train is traveling at 90 miles per hour, and it has al, There are an infinite number of points that lie on a period at the end of a sentence. Suppose the probability that a computer salesperson sells a computer to a prospective customer on the first visit to a customer is 0.40. When sampling with replacement (so that the p = probability of success does not change), note that a su, Suppose that only 0.10% of all computers of a certain type experience CPU failure during the warranty period. Midwest Parts Supply (MPS) is a fabricator of small steel parts that, Find Data for Profit Variance Analysis Required Find the values of the, You landed a summer internship with a company that processes dental insurance, Use the simplex method to solve the following problem. C) Intersect b. If the connector is ever wet, the probability of a failure during the warranty period is 5 % . If the salesperson fails to make a sale on the first visit, the probability that a sale will be made on the second vis, The lifelength Y (in years) of a memory chip in a laptop computer is a random variable with probability density of: f(y) = left{begin{matrix} frac{1}{4}y^2 e^{(frac{-y3}{12})} quad & text{if}, From a bin with three defective, two non-defective and three doubtful pieces of a product, a random sample of 4 pieces selected. Statistics and Probability questions and answers. A. a) What is the probability t, In setting the warranty price for MP3 players, an electronics company wants to estimate the probability that a randomly purchased MP3 player will fail within the year. It is known that 5% of all laptops from a certain manufacturer have a certain defect. a) What is the probability that a b, The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean of 270 minutes and a standard deviation of 50 minutes. Computer parts are manufactured with a probability of being 20% defective. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. A repair facility currently has 25 failed keyboards, 6 of which have electrical defects and 19 of which have mechanical defects. P (F|D')=0.05 Hence, 0.014 or 1.4% of connectors fail during the warranty period. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty period. A computer manufacturer randomly selects 2360 of its computers for quality assurance and finds that 2.54% of these computers are found to be defective. What is the probability that the device will fail during the second year of operation? ScholarOn, 10685-B Hazelhurst Dr. # 25977, Houston, TX 77043,USA. If the connector is ever wet, the probability of a failure during the warranty period is 5%, i.e. The probability is 1 that an electrical connector If the connector is ever wet, the probability of a failure during the warranty period is 5%. SOLVED:The probability is 1% that an electrical connector that is kept If there are 6 such components in a circuit, what is the probability that at least one fails? The probability that failure is due to hardware is .10 , the probability that it is due to software is .60 and the probability that it is due to other issues is .30 . This textbook answer is only visible when subscribed! Mathematics High School answered expert verified c) The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. a. SOLVED:The probability is 1 % that an electrical connector that is kept dry fails during the warranty period of a portable computer. ii. An online laptop store sells 6 such computers. The failure distribution is defined by f(t) = 3 t^2/10^9 0 less than or equal to t less than or equal to 1000 hr. Our Experts can answer your tough homework and study questions. What is the likelihood that 5 will be broken? The probability that there would be more than 3 components defective in this sample, by using the Poisson approximation, is: (a), The time until recharge for a battery in a laptop computer under common conditions is normally distributed with mean 260 minutes and standard deviation 50 minutes. What is the reliability function? If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? Let F denote the event that a connector fails and let X denote the event that a connector is wet. %PDF-1.2 The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. (B) What is the. Find the probability that a sample of size 3 drawn from the 8, will not contain a defective computer. True or False. Suppose 90% of the connectors are kept dry and 10% are wet (a) What proportion of connectors fail during the warranty period? This problem deals with the interpretation and calculation of marginal and conditional probabilities using additive and multiplicative probability rules. b. A computer manufacturer has determined that the number of defective chips produced daily follows the following probability distribution |x|p(x) |0|0.70 |1|0.12 |2|0.08 |3|0.06 |4|0.04 a) Calculate the expected number of defective chips produced daily. If the connector is , The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty pcriod of a portable computer. What is the probability that it will fail by 15,000 hours? Assume the bad chips are independent. What proportion of connectors fail during the warranty period? A device has a constant failure rate of 0.7/year. Find the probability that there will be at least 3 power outages in a year. If, on average, there are 3 failures every twenty weeks, then what is the probability of no failures over that time? B) Linear angles are equal. stream A communication satellite is designed to have a mean time failure (MTF) of 6 years. a.What are the expected value (i.e., mean) and sta, The probability that a particular computer component has a defect is .002. 2) D, The probability that an electronic component will fail in less than 1,000 hours of continuous use is 0.30. Find the probability that a sample of size 4, drawn from the 8, will not contain a defective computer. B) What is the likelihood that they will all work? iii. In a factory, a device that works effectively as good as new during its operating life, has failure rate of 0.008 failures per day. What is the percent of sales tax? Assuming the components function independently, determine the probability t. If the probability of failure for this device is independent of running time, find the probability that this device will last for more than 60 days and less than 120 days. There are three types of failures for a computer. The time it takes to fix an equipment failure is uniformly distributed between 3 and 7.5 hours. If three of these computers are placed in parallel aboard the proposed space wha, Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components. . The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. B) Linear angles are equal. If the connector is ever wet. The probability is 1% that an electrical connector that isask 9 a. Get 5 free video unlocks on our app with code GOMOBILE. A shipment of 8 computers contains 2 with defects. 1) What is the probability of at least 3 computer shutdowns during the next year? Do you need an answer to a question different from the above? All other trademarks and copyrights are the property of their respective owners. what proportion of connectors fail during the warranty period? If the connector is ever wet, the probability of a failure during the warranty period is 5%. ing lines form opposing angles. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the . a. It means that the values of both x and y have a strong relationship giving them a value of 1. Suppose that the average time a fully charged 6-volt laptop battery will operate a computer is 3.8 hours and follows the exponential probability distribution. If the connector is ever wet, the probability of a failure during the warranty period is 5%. This is the best answer based on feedback and ratings. If the probability is .04 that a certain device will fail. Find the B_{10} life of these batteries. C) Angle 4 is greater than angle 3. If the connector is ever wet, the probability of a failure during the warranty period is 3%. What is the mean number of diodes th. Given data : Purchased extended warranty of regular price- 0.21 Purchased extended warranty of sale price - 0.14 Did not purchase extended warra, A quality engineer tallies the defective and non-defectives found for each part number she oversees. (A) What is the likelihood that 5 will be broken? From the shipment you take a random sample of 25. Solved The probability is 1% that an electrical connector | Chegg.com Our Experts can answer your tough homework and study questions. Let F denote the event that a connector fails and let X denote the event that a connector is wet. Each laptop has an 8% probability of not working. I need help with my math problem,.., If p(A)=0.30,p(B)=0.40and p(AB) =0.20,then p(A/B) is, the graph of the reciprocal parent function , f (x) = 1/x is shifted 8 units downs and 6 units to the left to create the graph o, how many different burritos can be made when a customer chooses one item frm each category shown in the table, SOMEBODY PLEASE HELP I DONT HAVE MUCH TIME, What is 21 1/4% expressed as a fraction? The "Mean Time Between Failure" also known as MTBF for a given electronic equipment is 3 years. If 90% of the connectors are kept dry and 10% are wet,what proportion of connectors fail during the warranty period? Among 15 electrical components exactly 4 are known not to function properly. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? Kindly login to access the content at no cost. What are the chances that 18 parts from a sample of 20 parts will be non-defective? If the connector is ever wet, the probability of a failure during the warranty period is 5%. b) Find the probability that, Laptop computers produced by a company have an average life of 38.36 months. They live Q: Suppose that P (A|B) = 0.4 and P (B) = 0.5. School Business Management & Finance High School; Course Title MATHEMATIC 212; Uploaded By saisu. % what is the probability the 8th measuring device tested will be the first to fail? If the connector is ever wet, the probability of a failure during the warranty period is 5%. If the connector is ever wet, the probability of a failure during the warranty period is 5%. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.