Download Fifteen percent of the employees in a company have managerial

Fifteen percent of the employees in a company have managerial positions and
25% of the employees in the company have MBA degrees. Also, 60% of the
managers have MBA degrees. Using the probabillity formulas,
a. Find the proportion of employees who are managers and have MBA degrees.
b. Find the proportion of MBAs who are managers.
c. Are the events being a manager and having an MBA independent? Justify
your answer.
Suppose that yearly health care expenses for a family of four are normally distributed
with a mean expense equal to $3,000 and a standard deviation of $500. An insurance
company has decided to offer a health insurance premium reduction if a policyholder's
health care expenses to not exceed a specified dollar amount. What dollar amount should
be established if the insurance company wants families having the lowest 33% of yearly
health care expenses to be elighble for the premium reduction?