Question

7. Employees of a local university have been classified according to gender and job type as shown below. Male (M) Female (F) Job Faculty (FA) Salaried staff (SS) 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 staft? (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. (1) Are gender and type of job statistically independent? Explain with probabilities I

Answer 1

Holution Given Job Male Fomale Total faculty Salaried Stahl Hourly Statt Total 2001 300 200 100 300 A) P(male) = 110 30 +60 800 = 0.6667 B) p[male & Solariod) = 30 :0.1 9) PCFemale Sola vied) : ( Female & Salavied) 2 = 0.625 PC Sataried) D PC Female or faculty) = p (Ferale) + P(facuty) - p (female f faculny) 100 + 120 - 300 300 300 300 e) P(female or Houdly Staft) 1 3 pcferate) + PC Houdly Statt) - Alfemale & Hauly Stah) 100+ 100 .00 00* 300 300 : 160, 0.5333 · PCtbusty 8ta * & female) p(female) 300 1) PC Hourly State)' feroane) 100

Q P faculty) = 180 04 000 <0.4 4) NO, you can have one gender and her Gonder & type of job. PCMale) - 200 : 0.6667 3000 PCfaculty) : 12.00 -0.41 120 300 PCMale) x PC-a ): 0 - 6 x 4 : 6:2667 pemale & faculty) - 100 = 0.3664 :: P (Male & faculty) + P(Male) * P[ facelty) independent. ,: Gender & type of jobe are not statisticoolles