The goal of corporate sustainability is to manage the environmental, economic, and social effects of a corporation’s operations so it is profitable over the long-term while acting in a responsible manner to society. An international study by Unilever reveals that 33% of consumers are choosing to buy from brands they believe are doing social or environmental good.

Source: Data extracted from “Report shows a third of consumers prefer sustainable brands,” bit.ly/2pTyEzO.

Suppose you select a sample of 100 consumers.

a. What is the probability that in the sample fewer than 30% are choosing to buy from brands they believe are doing social or environmental good?

b. What is the probability that in the sample between 28% and 38% are choosing to buy from brands they believe are doing social or environmental good?

c. What is the probability that in the sample more than 38% are choosing to buy from brands they believe are doing social or environmental good?

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