The prospective customers for a beauty company in India constitute 58% women and 42% men. The company, Ayuur, launched an aggressive marketing campaign and, as reported in a survey of 50 customers, this increased the percentage of the female group to 60% and the male group to 48%. Select a random group of 50 customers.

a. Without running the campaign, determine the probability of getting 48% or more male customers.

Was the campaign worth it?

b. Determine the probability that the company can increase the percentage of female customers to more than 60% without running the campaign. Compare it with your findings in part a.

c. In a sample of 100 customers, will the probability of increasing the female group to 60% or more double?