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# Employees of a local university have been classified according to gender and job:Job

Male (M) Female (F)

Faculty (FA) 110 10

Salaried staff (SS) 30 50

Hourly staff (HS) 60 40

(A) If an employee is selected at random what is the probability that the employee is male?

(B) If an employee is selected at random what is the probability that the employee is male and salaried staff?

(C) 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 staff?

(D) If an employee is selected at random what is the probability that the employee is female or works as a

member of the faculty?

(E) If an employee is selected at random what is the probability that the employee is female or works as an

hourly staff member?

(F) 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?

(G) If an employee is selected at random what is the probability that the employee is a member of the

faculty?

(H)Are gender and type of job mutually exclusive? Explain with probabilities.

(I)Are gender and type of job statistically independent? Explain with probabilities

For more clarity on the table, please refer to the image attached, please.

Thank you.

7. Employees of a local university have been classiﬁed according to gender and job type as shown below. ——— Fawn FA ——
Salanedstamso 6—— Hourly staff (HS) (A) If an employee is selected at random what is the probability that the employee is male?
(B) If an employee is selected at random what is the probability that the employee is male and salaried staff? (C) 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 staff? (D) If an employee is selected at random what is the probability that the employee is female or works as a
member of the faculty? (E) If an employee is selected at random what is the probability that the employee is female or works as an
hourly staff member? (F) 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? (G) If an employee is selected at random what is the probability that the employee is a member of the
faculty? (H) Are gender and type of job mutually exclusive? Explain with probabilities.
(I) Are gender and type of job statistically independent? Explain with probabilities

A P(M) = 2/3 =0.667 B. P(M and SS) = 1/10 =0.10 C P(F|SS) =0.63 D.P(F or... View the full answer

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