Accenture’s Defining Success global research study found that the majority of today’s working women would prefer a better work–life balance to an increased salary. One of the most important contributors to work life balance identified by the survey was “ fleX-baribility,” with 80% of women saying that having a fleX-barible work schedule is either very important or eX-bartremely important to their career success. (Source: bit.ly/17IM8gq.) Suppose you select a sample of 100 working women.

a. What is the probability that in the sample fewer than 85% say that having a fleX-barible work schedule is either very important or eX-bartremely important to their career success?

b. What is the probability that in the sample between 75% and 85% say that having a fleX-barible work schedule is either very important or eX-bartremely important to their career success?

c. What is the probability that in the sample more than 82% say that having a fleX-barible work schedule is either very important or eX-bartremely important to their career success?

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