Female driving deaths.In a given year, the probability that an adult American female dies in a motor vehicle accident equals 0.0001. (Source Data fromStatistical Abstract of the United States,2001).

a. In a city having 1 million adult American females, state assumptions for a binomial distribution to apply to x = the number of them who die in the next year from motor vehicle accidents.Identify n and p for that distribution.

b. If the binomial applies, find the mean and standard deviation for x.

c. Based on the normal distribution, find the interval of possible outcomes within three standard deviations of the mean that is almost certain to occur.

d. Refer to the assumptions for the analysis in part a.Explain at least one way they may be violated.

e. The probability of a motor vehicle death for an adult American male is 0.0002.Repeat parts b and c for a city having 1 million of them, and compare results to those for females.

My Work:

a. n = the number of females aka 1,000,000; p = the probability that an adult female dies in a motor accident aka 0.0001

b. mean = 100; = 9.9995

c. anywhere between 70 and 130 women could die next year from motor vehicle accidents.

d. All events in a binomial distribution must be independent, but if multiple women died as a result of one car accident then the events would not be independent.

e. mean = 200; = 14.1407; anywhere between 158 and 242 males could die in motor vehicle accidents.This is nearly twice the amount of people dying compared to females.