Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively. A plant employee is selected randomly; F is the event "works in the finishing department;" and A is the event "is absent excessively." P(A or F) = ___.
A) 0.07
B) 0.10
C) 0.20
D) 0.23
E) 0.37

Question

Quizplus · Accepted Answer

We can use the formula:
P(A or F) = P(A) + P(F) - P(A and F)

From the problem, we know:
P(F) = 0.10
P(A) = 0.20
P(A and F) = 0.07

Plugging in the values, we get:

P(A or F) = 0.20 + 0.10 - 0.07
P(A or F) = 0.23

Therefore, the answer is D) 0.23.

Abel Alonzo, Director of Human Resources, Is Exploring Employee Absenteeism