Let N denote the number of phone calls per hour to I - 8OO -HOTTIME. Suppose N ~

ID: 3125704 • Letter: L

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Let N denote the number of phone calls per hour to I - 8OO -HOTTIME. Suppose N ~ Poisson(Lambda = 6). Find P (N = 6) Find the probability that there are no phone calls during some arbitrary 10 minute interval. A laboratory blood test for a certain disease has a false positive rate of 5% and a false negative rate of 3%. If 1% of the population actually has the disease and the whole population is tested, what is the probability a person actually has the disease given that the test result for that person is positive Suppose random variable .X has probability density function f given by f (x) = 1/2 e^ - x/2 I [0,infinity) (x). Find the moment - generating function M for X.

Explanation / Answer

6) P(N=6) = 0.1606

ii) P(Y =0 for a poisson with mean =1) = 0.3679

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Prob person has the disease given test positive = 0.95

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Let N denote the number of phone calls per hour to I - 8OO -HOTTIME. Suppose N ~

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