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b. What is the probability that zero online retail orders will turn out to be fr

ID: 3374836 • Letter: B

Question

b. What is the probability that zero online retail orders will turn out to be fraudulent?

c. What is the probability that one online retail order will turn out to be fraudulent?

d. What is the probability that two or more online retail orders will turn out to be fraudulent

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.04. Suppose that, on a given day, 19 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulant is distrbuted as a binomial random variable. Complate parts (a) through (d) below. a. What are the mean and standard deviation of the number af online relail orders that turn out to be fraudulent? The mean number af online retail orders that turn out to be fraudulent is Type an integer ar a decimal. Round to four decimal places as needed.)

Explanation / Answer

solution:-
given that n = 19 , p = 0.04
a. mean = n*p = 19 * 0.04 = 0.76
standard deviation = sqrt(n*p*q) = 19 *0.04 * 0.96 = 0.8542

b. p(x = 0) = 0.4604

c.p(x = 1) = 0.3645

d.p(x ? 2) = 0.1751