1.Charles is vice-president of a company that makes chewing gum and their really hot product is a unique gum that has a mint flavor. The last 5 years, the demand for Mint Chewing Gum has been constant at about 87,000 cases per month. Charles thinks that the distribution of the sales of Mint Chewing Gum follows a normal distribution with a standard deviation of about 4,000 cases per month. (hint; this problem must be solved using the table for areas under the normal curve).

a.What is the value of z in this problem?

b.What is the probability that sales next month will be less than 81,000 cases of Mint Chewing Gum?

c.What is the probability that sales next month will be more than 91,000 cases?