The number of errors in any page of a 10-page report is Poisson distributed with mean 5. Suppose further that errors are independent. The expected number of pages in the report with more than two errors is equal to
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- If X1 and X2 constitute a random sample of size n = 2from a Poisson population, show that the mean of thesample is a sufficient estimator of the parameter λ.Suppose the number X of tornadoes observed in a particular region during a 1-year period has a Poisson distribution with λ = 8. a. Compute P(X≤5). b. Compute P(6≤X≤9). c. Compute P(10≤X). d. What is the probability that the observed number of tornadoes exceeds the expected number by more than 1 standard deviation?A number of students who seek assistance with their statistics assignments is Poissondistributed with a mean of 3.25 per day. Find the probability that on a randomly selectedday a) One student seeks assistanceP(X=1) = b) More than 1 students seek assistanceP(X>1) =