9.9k views
3 votes
​(a) Find the probability that a randomly selected worker contributes to a retirement savings plan at​ work, given that the worker is male.

The probability that a randomly selected worker contributes to a retirement savings plan at​ work, given that the worker is​ male, is

1 Answer

4 votes

The probability that a randomly selected worker contributes to a retirement savings plan at work is male is 0.484.

How to determine the value of the probability

From the question, we have the following parameters that can be used in our computation:

The table of values

Let C represent that the selected employee participates to a workplace retirement savings plan.

Let M stand for the male employee.

From the table of values, we have the following

C n M = 121

M = 250

The probability that a randomly selected worker contributes to a retirement savings plan at work is male is calculated using

P(C | M) = P(C n M)/P(M)

Substitute the known values into the equation

P(C | M) = 121/250

Evaluate

P(C | M) = 0.484

Hence, the probability is 0.484.

​(a) Find the probability that a randomly selected worker contributes to a retirement-example-1
User Libec
by
7.0k points