Authors: Douglas C. Montgomery, George C. Runger, Search Textbook questions, tutors and Books, Change your search query and then try again. There are three types of failures for a computer. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? If 10 appliances are sold. The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty period of a portable computer. The time to failure random variable for a battery follows a normal distribution, with \mu = 800 hours and \sigma = 65 hours. what proportion of connectors fail during the warranty period? B) Linear angles are equal. P (F|D')=0.05 Hence, 0.014 or 1.4% of connectors fail during the 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 probability of a machine failure is 0.1, and each machine failure is independent. What is the likelihood that 5 will be broken? Find the probability that there will be at least 3 power outages in a year. 7O:idy~esnQ3:Ly ~8#* %~C;x$Mme(u 9Lz& Y (`@h*\}ruP3r{:t0>.5)8/aeeaFoW0Ug!V. If the connector is ever wet, the probability of a failure during the warranty period is 5%. What is the probability that the device will fail during the second year of operation? Hence, 0.014 or 1.4% of connectors fail during the warranty period. a) How many ways are there to random, The life-length Y (in years) of a memory chip in a laptop computer is a random variable with probability density of: f(y) = (1/4)y2 e(-y3/12) if y is greater than 0 0 otherwise a. (A) What is the likelihood that 5 will be broken? If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors do not fail during the warranty period? B) Linear angles are equal. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of portable computer. b. Suppose the time until failure of the appliance failing has an exponential distribution with mean 8. a. Each laptop has an 8% probability of not working. 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? (b) Find the probabilit. C) Intersecting lines form opposing angles. From the shipment you take a random sample of 25. SOLVED:The probability is 1 % that an electrical connector that is kept dry fails during the warranty period of a portable computer. Suppose that 90% of all connectors are kept dry. Inspection shows 90% of the connectors are kept dry and 10% are wet. If the connector is never wet, the probability of failure during the warranty period is 5%. 2 0 obj The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. (b) If you buy 4 s, Find the number of successes x suggested by the given statement. (a) What is the probability of failure within a 100-hr warranty period? If the probability is .04 that a certain device will fail. The component has already been in operation for its mean life. A. A shipment of 8 computers contains 2 with defects. ing lines form opposing angles. Based on the data in this two-way table, which statement is true? A shipment of 8 computers contains 4 with defects. A 10% probability that a connectors is wet. 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. You randomly select 20 laptops for your salespeople. If 8 components are randomly selected, find the following probabilities: 1. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? A) Vertical angles are congruent. What is the reliability function? The probability that exactly 3 are defective. Which reason is the justification for the statement that angle A angle B? Find the probability that a sample of size 2 ,drawn from the 8, will not contain a defective computer. A computer has 100 electronic components. If the connector is ever wet, the probability of a failure during the warranty period is 3%. Find the, A data center has 10,000 disk drives. If 90% of the connectors are kept dry and 10% are wet, what proportion 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? 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? If the connector is ever wet, the probability of a failure during the warranty period is 5%. a) Find the probability that there are no failures in a given day. The probability is $1 \%$ that an electrical connector that is kept dry fails during the warranty period. If the connector is ever wet, the probability of a failure during the warranty period is 5%. The correlation coefficient is 1. Also, the data presented is a correlation. If 90% of the connectors are kept dry and 10% are wet, what proportion of connectors fail during the warranty period? Assume that the life of a computer is exponentially distributed (which is a good assumption). Assume that the time (to hours) until failure of a transistor is a random variable has exponential distribution with parameter lambda = 1/50 Find expected value for failure time. Given that a customer buys Product B6700, what is the probability it is defective? If 90 % of the connectors are kept dry and 10 % are wet, what proportion of connectors fail during the warranty period? School Business Management & Finance High School; Course Title MATHEMATIC 212; Uploaded By saisu. If 90% of the connectors are kept dry and 10% are wet,what proportion of connectors fail during the warranty period? a) Determine the probability that the next charge will l, A certain type of circuit board contains 300 diodes. 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 is the probability that exactly 2 laptops are defective among them? What is the reliability function? {/eq} and two random events, then, {eq}P(A \text { or } B) = P(A) + P(B) - P(A \text { & } B) \\ 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. If the connector is ever wet, the probability of a failure during the warranty period is 5%. (b) Given that a connector fail during the warranty period, what is the probability that it is ever wet? Find the probability that a sample of size 1, drawn from the 8, will not contain a defective computer. Kindly login to access the content at no cost. What is the mean number of diodes th. Our Experts can answer your tough homework and study questions. What, The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are .5470, .3562, .0870, .0094, and .0004, respectively. (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. Our experts can answer your tough homework and study questions. Chapter 2, Exercises #123. the probability of a failure during the warranty period is 5%. What is the probability that a sample of 1 of the 8 computers will not contain a defective computer? what is the probability the 8th measuring device tested will be the first to fail? The number of power outages at Grenlec has a Poisson distribution with a mean of 6 outages per year. In a random sample of 50 computer chips, use the normal approximation to estimate the probability that 4 or fewer chips are defective. Computer parts are manufactured with a probability of being 20% defective. D) Angle 3 is greater than angle 4. A) Angles 3 and 4 are complementary angles. What is the probability that at least one of them will have a defective part? Let F denote the event that a connector fails and let X denote the event that a connector is wet. It is assumed that the Poisson distribution will govern the probabilities of failure. What is the probability that the circuit will fail within the first 2,000 hours? This E-mail is already registered with us. Get access to this video and our entire Q&A library, Conditional Probability: Definition & Uses. Statistics and Probability questions and answers. Kindly login to access the content at no cost. what proportion of connectors fail during the warranty period? A). 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? {/eq} and {eq}B (b) Compute, 1. A shipment of 8 computers contains 2 with defects. Educator app for HELP PLEASE! If the connector is ever wet, the probability of a failure during the warranty period is 4%. 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 . This is the best answer based on feedback and ratings. This E-mail is already registered as a Premium Member with us. You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Assuming an exponential distribution: i. a) What is the probability that there wi. >> Find the requested probabilities. B) Angle 3 and If the probability of failure for this device is independent of running time, find the probability that this device will fail after 50 days of working and before 100 days of running time. A. Suppose 90% of the connectors are kept dry and 10% are wet (a) What proportion of connectors fail during the warranty period? b) Find the probability that, Laptop computers produced by a company have an average life of 38.36 months. The time between unplanned shutdowns of a power plant has an exponential distribution with a mean of 25 days. Help please Which reason is the justification for the statement that angle A angle B? 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. b. 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. The probability is 1% that an electrical connector that is kept dry fails during the warranty period of a portable computer. 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. If the connector is ever wet, the probability of a failure during the warranty period is 5%, i.e.
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