Question

The probability is 0.4 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant....

The probability is 0.4 that a traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant. In eight traffic​ fatalities, find the probability that the​ number, Y, which involve an intoxicated or​ alcohol-impaired driver or nonoccupant is

c. Find and interpret the mean of the random variable Y.

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Answer #1

since thus is the case of binomial distribution where p is the probablity that traffic fatality involves an intoxicated or​ alcohol-impaired driver or nonoccupant. and n=8

we knkw that the mean of binomial distribution is np so

Mean= 8×0.45 = 3.6

Interpretation :- On an average of 3.6 out of 8 traffic fatalities will involve an intoxicated or alcohol-impaired driver or nonoccupant.

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