View the step-by-step solution to:

Question

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.Stat Assignment Question 7.png

Stat Assignment Question 7.png

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

Top Answer

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

job_staff.PNG

Sign up to view the full answer

Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

  • -

    Study Documents

    Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

    Browse Documents
  • -

    Question & Answers

    Get one-on-one homework help from our expert tutors—available online 24/7. Ask your own questions or browse existing Q&A threads. Satisfaction guaranteed!

    Ask a Question