Aglobal research study found that the majority of today's working women would prefer a better work-life balance to anincreased salary. one of the most important contributors to work-life balance identified by the survey was "flexibility," with41% of women saying that having a flexible work schedule is either very important or extremely important to their careersuccess. 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 46% say that having a flexible work schedule is either veryimportant or extremely important to their career success? 46(round to four decimal places as needed.)b. what is the probability that in the sample between 35% and 46% say that having a flexible work schedule is either veryimportant 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 42% say that having a flexible work schedule is either veryimportant 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 400 to (a) through (c)? the probability that in the sample fewer than 46% say that having a flexible work schedule is either very important orextremely important to their career success is .the probability that in the sample between 35% and 46% say that having a flexible work schedule is either very importantor extremely important to their career success is probability that in the sample more than 42% say that having a flexible work schedule is either very important orextremely important to their career success