The average number of defective CPUS in a shipment is 1.7. Assuming a Poisson distribution for defective 13. CPUS (PA(k) =e-^x*/k!), what is the most likely total number of such CPUS in 4 shipments? Answer enter number
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- An average of 3.1 daisies grows in 1 square meter of grass, following a Poisson distribution. Using the normal approximation, what is the probability that there will be at least 46 daisies on a lawn of 22.8 square meters?On average, Nancy has noticed that 21 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 1 truck will pass her apartment in a 2-hour time period using Poisson distribution, find the average number of trucks per 2 hours.The number of scratches on a final-product section follows a Poisson distribution with a mean of 3.4 scratches per millimeter. Determine the probability of exactly 4 scratches in 3 millimeters of a final-product section.
- The number of errors per 1000 words made by a particular typist has a Poisson distribution with a mean of 2.5.(a) Find the probability that, in a 4000 word script, there should at least be 14 typing errors.(b) Using a suitable approximation, show that the probability will be more than 25 errors in a 10000 word dissertation.A call center agent receives an average of 28 calls per hour. Assuming that this follows a Poisson distribution, use the normal approximation to determine the probability that in an hour, the call center agent will receive: a. 32 or more calls.b. greater than 25 calls. c. exactly 44 calls.A call center agent receives an average of 28 calls per hour. Assuming that this follows a Poisson distribution, use the normal approximation to determine the probability that in an hour, the call center agent will receive: 32 or more calls. greater than 25 calls. exactly 44 calls.
- The number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with mean, = 7i. What is the mean number of arrivals daily if the facility operates for 8 hours perday? ii. Compute the probability that more than 10 customers will arrive in a 2-hour period.The entire human genome can be considered to a long book broken into pages. Suppose that the number ofmutations on a single page of this book has a Poisson distribution with parameter λ = 1/2 . For a given page, calculate that there are atleast 2 mutations on the page?The number of surface flaws in plastic panels used in the interior of automobiles has a Poisson distribution with a mean of 0.08 flaw per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel. If 10 cars are sold to a rental company, what is the probability that at most one car has any surface flaws? Express your answer with 4 significant figures.
- The number of traffic accidents per week in a small city has a Poisson distribution with mean equal to 5. What is the mean and variance of traffic accidents in 4 weeks?Suppose a radioactive source is metered for 3 hours, during which time the total number of alpha particles counted is 328. Modeling the problem using a Poisson distribution, what is the probability exactly four particles will be counted in the next 2 minutes? Answer the question in two ways: (a) By defining X to be the number of particles counted in 2 minutes (b) By defining X to be the number of particles counted in 1 minute. Give your answers in decimal form with at least 6 significant figures.The number of errors per 1000 words made by a particular typist has a Poisson distribution with a mean of 2.5.(a) Find the probability that, in a 4000 word script, there will be at least 14 typing errors.(b) Using a suitable approximation, find the probability that there will be more than25 errors in a 10000 word dissertation. DO NOT USE THE EXCEL METHOD!
