Question

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? Please i need all workings clearly. All calculations/ workings must be shown. Thanks!

          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?
Please i need all workings clearly. All calculations/ workings
must be shown. Thanks!

Added by Chelsea W.

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