In a given year, the probability that an adult American female dies in a motor vehicle accident equals 0.0001.
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 of 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.