In a recent survey of full-time workers, 46% said that they would rather give up some of their salary for more personal time (note: 𝜋= 0.46). Suppose you select a sample of n = 100 full-time workers.
a. What is the probability that in the sample, fewer than 50% would rather give up some of their salary for more personal time? (4)
b. What is the probability that in the sample, between 40% and 50% would rather give up some of their salary for more personal time? (4)
c. What is the probability that in the sample, more than 40% would rather give up some of their salary for more personal time?