What do workers around the world want in a job? An EY global study of full-time workers on work-life challenges found that one of the most important factors when seeking a job is flexibility, with 74% of workers saying that being able to work flexibly and still be on track for a promotion is important. (Data extracted from "Study highlights: people want flexibility," bit.ly/1I7hOvW.) Suppose you select a sample of 100 full-time workers.

a. What is the probability that in the sample fewer than 78% say that that being able to work flexibly and still be on track for a promotion is important?

b. What is the probability that in the sample between 70% and 78% say that being able to work flexibly and still be on track for a promotion is important?

c. What is the probability that in the sample more than 76% say that that being able to work flexibly and still be on track for a promotion is important?

d. If a sample of 400 is taken, how does this change your answers to (a) through (c)?