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

ID: 3248558 • Letter: E

Question

Employees of a local university have been classified according to gender and job type 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 the staff? d) If an employee is selected at random, what is the probability that the employee is female or works as an hourly staff member? e) Are gender and type of job statistically independent?

Explanation / Answer

a) probabilty =400/600=0.667

b)probability =60/600=0.1

c)probability =100/160 =0.625

d)probability=(200+120)/600=0.533

e)No, as probabilty of female given salaried member is not equal to probability of female.

male female Total Faculty 220 20 240 secondary 60 100 160 Hourly 120 80 200 total 400 200 600
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