A global research study found that the majority oftoday's working women would prefer a betterwork-life balance to an increased salary. One of the most important contributors towork-life balance identified by the survey was"flexibility," with 47% of women saying that having a flexible work schedule is either very important or extremely important to their career success. Suppose you select a sample of 100 working women. Answer parts(a) through(d).

a. What is the probability that in the sample fewer than 53% say that having a flexible work schedule is either very important or extremely important to their careersuccess?

(Round to four decimal places asneeded.)