Based on the results given in Cumulative Review Exercise 6, assume that for a randomly selected lightning death, there is a 0.8 probability that the victim is a male.

a. Find the probability that three random people killed by lightning strikes are all males.

b. Find the probability that three random people killed by lightning strikes are all females.

c. Find the probability that among three people killed by lightning strikes, at least one is a male.

d. If five people killed by lightning strikes are randomly selected, find the probability that exactly three of them are males.

e. A study involves random selection of different groups of 50 people killed by lightning strikes.

For those groups, find the mean and standard deviation for the numbers of male victims.

f. For the same groups described in part (e), would 46 be a significantly high number of males in a group? Explain.