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One airline averages about 2.3 fatalities per month. Assume that the probability

ID: 3180900 • Letter: O

Question

One airline averages about 2.3 fatalities per month. Assume that the probability distribution for x, the number of fatalities per month, can be approximated by a Poisson probability distribution. Complete parts (a) through (c). a. What is the probability that no fatalities will occur during any given month? The probability is (Round to four decimal places as needed.) b. What is the probability that one fatality will occur during any given month? The probability is (Round to four decimal places as needed.) c. Find E(x). E(x) = Find the standard deviation of x. The standard deviation is. (Round to four decimal places as needed.)

Explanation / Answer

Ans: Let X be a random variable that denote the number of fatelites per month.

X is a poisson random varible with parameter 2.3.

C.E(X)=2.3

D.SD(X)=sqrt(2.3)=1.5165

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