What do millennials around the world want in a job? A Deloitte survey of millennials on work-life challenges found that millennials are looking for stability in an uncertain world, with 65% of millennials preferring a permanent, full-time job rather than working freelance or as a consultant on a flexible or short-term basis.

Source: Data extracted from “Freelance flexibility with full-time stability,” bit.ly/2pr6h9r.

Suppose you select a sample of 100 millennials.

a. What is the probability that in the sample fewer than 70% prefer a permanent, full-time job?

b. What is the probability that in the sample between 60% and 70% prefer a permanent, full-time job?

c. What is the probability that in the sample more than 70% prefer a permanent, full-time job?

d. If a sample of 400 is taken, how does this change your answers to (a) through (c)?