A global research study found that the majority of? today'sworking 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," with42 42?% of women saying that having a flexible work schedule iseither very important or extremely important to their careersuccess. Suppose you select a sample of 100 100 working women.Answer parts? (a) through? (d). a. What is the probability that inthe sample fewer than 50 50?% say that having a flexible workschedule is either very important or extremely important to theircareer? success? nothing ?(Round to four decimal places as?needed.) b. What is the probability that in the sample between 3535?% and 50 50?% say that having a flexible work schedule is eithervery important or extremely important to their career? success?nothing ?(Round to four decimal places as? needed.) c. What is theprobability that in the sample more than 43 43?% say that having aflexible work schedule is either very important or extremelyimportant to their career? success? nothing ?(Round to four decimalplaces as? needed.) d. If a sample of 400 400 is? taken, how doesthis change your answers to? (a) through? (c)? The probability thatin the sample fewer than 50 50?% say that having a flexible workschedule is either very important or extremely important to theircareer success is nothing . The probability that in the samplebetween 35 35?% and 50 50?% say that having a flexible workschedule is either very important or extremely important to theircareer success is nothing . The probability that in the sample morethan 43 43?% say that having a flexible work schedule is eithervery important or extremely important to their career success isnothing .