6.35. In a given year, the probability that an American female dies in a motor vehicle accident equals 0.0001 {Statistical Abstract ofthe United States).

(a) In a city having 1 million females, find the mean and standard deviation of x = number of deaths from motor vehicle accidents. State the assumptions for these to be valid. {Hint:

Find /x and a for the binomial distribution.)

(b) Would it be surprising if x = 0? Explain.

{Hint: How many standard deviations is 0 from the expected value?)

(c) Based on the normal approximation to the binomial, find an interval within which x has probability 0.95 of occurring.

(d) The probability for American males is 0.0002.

Repeat

(a) for males, and compare results to those for females.