4) According to government data, the probability that a woman between the ages of 25 and 29 was never married is 40%. a) In a random survey of 10 women in this age group, what is the mean and standard deviation of the number that never married? b) Suppose that in a random survey of 10 women in this age group, 6 women stated that they were never married. Use the answers to part (a) to determine if 6 was a usual or unusual number out of 10 women to say that they were never married (calculate the two standard deviation interval).

c) Calculate the probability that in a random survey of 10 women in this age group, 6 women state that they were never married.

For part B, you need the two standard deviation intervals to determine if the value is unusual. For part C, you want to find the P(exactly 6) given a binomial experiment.