A small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company for over 10 years. Suppose that one employee is selected at random from a list of the employees. For the following events, compute the probabilities requested below. Athe event the selected employee has been with the firm less than 5 years B the event the selected employee has been with the firm 5s xs 10 years. C the event the selected employee has been with the firm over 10 years. a) P(A) b) P(C) c) P(A or B) d) P(A and C)

Given that a small manufacturing firm has 250 employees. Fifty have been employed for less than 5 years and 125 have been with the company for over 10 years. So remaining 75 are between 5 and 10 years.

Suppose that one employee is selected at random from a list of the employees

A) Probability that the selected employee has been with the firm less than 5 years = [tex]\frac{50}{250 } \\= 0.20[/tex]

B) Probability that the selected employee has been with the firm between 5 and 10 years

= [tex]\frac{75}{250 } \\= 0.30[/tex]

C) Probability that the selected employee has been with the firm more than 10 years

= [tex]\frac{125}{250} =0.50[/tex]

a) P(A) = 0.2

P(C) = 0.5

P(A or B) = 0.2+0.3 = 0.5

P(A and C) = 0 (since A and C are disjoint)