Question

In 1995, the percentage of the labor force that belonged to a union was 14.9. If five workers had been randomly chosen in that year, what is the probability that none of them would have belonged to a union? Compare your answer to what it would be for the year 1945, when an all-time high of 35.5 percent of the labor force belonged to a union.

Answer 1

SOLUTION:

From given data,

In 1995, the percentage of the labor force that belonged to a union was 14.9. If five workers had been randomly chosen in that year, what is the probability that none of them would have belonged to a union? Compare your answer to what it would be for the year 1945, when an all-time high of 35.5 percent of the labor force belonged to a union.

Where ,

14.9 = 14.9 / 100 = 0.149 then

(1-0.149) =0.851

is probability that a person didn't belong to a union.

So for five workers it would be

0.851⁵= 0.446.

Now consider,

35.5 percent = 35.5 / 100 = 0.355 then

(1-0.355)= 0.645

For five workers

0.645⁵= 0.1116