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Employees of a local college have been classified according to gender and job type. Gender Job Male (M) Female (F) Faculty Member (FA) 25 15

  1. Employees of a local college have been classified according to gender and job type.

Gender

Job

Male (M)

Female (F)

Faculty Member (FA)

25

15

Salaried Staff (SS)

20

30

Hourly Staff (HS)

35

15

Calculate the following:

  1. Construct three separate probability tables: (You will need to add the row/column totals as needed)
    1. Total probability
    2. Row probability
    3. Column probability
  2. If an employee is selected at random, what is the probability that the employee is male?
  3. If an employee is selected at random, what is the probability that the employee is male and salaried staff?
  4. If an employee is selected at random, what is the probability that the employee is female, given that the employee is a salaried member of the staff?
  5. If an employee is selected at random, what is the probability that the employee is female or works as a member of the faculty?
  6. If an employee is selected at random, what is the probability that the employee is female or works as an hourly staff member?
  7. If an employee is selected at random, what is the probability that the employee is a member of the faculty?
  8. If an employee is selected at random, what is the probability that the employee is a member of the hourly staff, given that the employee is female?

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