# Probability Corporations Employees

1) A corporation has 15,000 employees. Sixty-two percent of the employees are male. Twenty-three percent of the employees earn more than $30,000 a year. Eighteen percent of the employees are male and earn more than $30,000 a year.

a) If an employee is taken at random, what is the probability that the employee is male?

b) If an employee is taken at random, what is the probability that the employee earns more than $30,000 a year?

c) If an employee is taken at random, what is the probability that the employee is male and earns more than $30,000 a year?

d) If an employee is taken at random, what is the probability that the employee is male or earns more than $30,000 a year?

e) The employee taken at random turns out to be male. Compute the probability that he earns more than $30,000 a year.

f) Are being male and earning more than $30,000 a year independent?

2) As a company manager for Claimstat Corporation there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion, a raise, or both. The probability of getting a promotion and a raise is 0.25.

a) If you get a promotion, what is the probability that you will also get a raise?

b) What is the probability that you will get a raise?

c) Are getting a raise and being promoted independent events? Explain using probabilities.

d) Are these two events mutually exclusive? Explain using probabilities

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Solution is attached.

A corporation has 15,000 employees. Sixty-two percent of the employees are male. Twenty-three percent of the employees earn more than $30,000 a year. Eighteen percent of the employees are male and earn more than $30,000 a year.

If an employee is taken at random, what is the probability that the employee is male?

.62 or 62%

If an employee is taken at random, what is the probability that the employee ...

#### Solution Summary

Probability corporations employees are examined. The promoted independent events are analyzed for two mutually exclusive events.