SOLUTION: The personnel manager of a manufacturing company has cross-classified the 400 employees of his company according to their record of absenteeism last year, and whether or not they w

Question 1019204: The personnel manager of a manufacturing company has cross-classified the 400 employees of his company according to their record of absenteeism last year, and whether or not they were smokers, as shown in the following table.
Number of days absent Smoker Nonsmoker
Less than 10 34 260
10 or more 78 28
If one of these employees is selected at random.
a. What is the probability that the employee selected was a non-smoker?
b. What is the probability that the employee selected was absent for 10 or more days?
c. Are the events �non-smoker� and �absent less than 10 days� mutually exclusive? Explain.
d. What is the probability that the employee selected was absent for less than 10 days given that the employee is a smoker?
e. What is the probability that the employee selected was absent for less than 10 days given that the employee does not smoke?

Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
a. (28+260)/400 = 18/25
b. (78+28)/400 = 53/200
c. The two events are mutually exclusive if P("non-smoker" and "absent less than 10 days") = 0. Since from the data, P("non-smoker" and "absent less than 10 days") = 260/400 = 13/20, the two events are NOT mutually exclusive.
d. P("absent for less than 10 days"|smoker) = P("absent for less than 10 days" AND smoker)/P(smoker) =
e. P("absent for less than 10 days"|non-smoker) = P("absent for less than 10 days" AND non-smoker)/P(non-smoker) =
RELATED QUESTIONS
A company that employees 6 manager, 15 clerical workers and 23 warehouse personnel is... (answered by stanbon)

The personnel manager of a company feels that 60% of the employees will have enhanced... (answered by Boreal,ikleyn)

a ratio of men to women at a certain company is 5 to 6. How many employees does the... (answered by JBarnum)

a manufacturing company with 450 employees begins a new product line and must increase... (answered by Theo)

A small manufacturing company with 52 employees has annual salaries distributed such that (answered by stanbon)

A company has 72 more female employees than male employees. If the company has a total of (answered by checkley79,math-vortex)

1. A manager is keen to investigate about the smoking status in his company. He believes... (answered by Boreal)

The operations manager of a company wants to compare the performance of two branches... (answered by richwmiller)