Answer to Question #152602 in Statistics and Probability for Daniel

Question

Of a company's employees, 30% are women and 6% are married women Suppose an employee is selected. at random. If the employee selected is a woman, what is the probability that she is married.?"

a. 0.2
b. 0.06
c. 0.3
d. 0.018

Answer 1

A: Married women

$P(A \cap B) = 0.06$

B: Employee is a women

$P(B) = 0.3$

$P(A|B) = \frac{P(A \cap B)}{P(B)} \\ P(A|B) = \frac{0.06}{0.3} \\ = 0.2$

Answer: a. 0.2