A 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 "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 51% say that having a flexible work schedule is either very important or extremely important to their career success? (Round to four decimal places as needed.) b. What is the probability that in the sample between 44% and 51% say that having a flexible work schedule is either very important or extremely important to their career success? (Round to four decimal places as needed.) c. What is the probability that in the sample more than 50% say that having a flexible work schedule is either very important or extremely important to their career success? (Round to four decimal places as needed.) d. If a sample of 400 is taken, how does this change your answers to (a) through (c)? The probability that in the sample fewer than 51% say that having a flexible work schedule is either very important or extremely important to their career success is The probability that in the sample between 44% and 51% say that having a flexible work schedule is either very important or extremely important to their career success is. The probability that in the sample more than 50% say that having a flexible work schedule is either very important or extremely important to their career success is