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 reveals that

32%

of consumers are choosing to buy from brands they believe are doing social or environmental good. Suppose you select a sample of

100

consumers. Answer parts (a) through (d).

a. What is the probability that in the sample fewer than

29%

are choosing to buy from brands they believe are doing social or environmental good?

0.26010

(Round to four decimal places as needed.)

b. What is the probability that in the sample between

24%

and

38%

are choosing to buy from brands they believe are doing social or environmental good?

0.85760

(Round to four decimal places as needed.)

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?