Distribution of Sample Proportions. Suppose you know that the distribution of sample proportions of women employees is normal with a mean of 0.42 and a standard deviation of 0.21. Suppose you select a random sample of employees and find that the proportion of women in the sample is 0.45.

a. How many standard deviations is the sample proportion from the mean of the distribution of sample proportions?

b. What is the probability that a second sample selected would have a proportion greater than 0.45?