Question

A study showed that 36​% of all firms in Country A are owned by women. You are phoning local​ businesses, assuming that the national percentage is true in your area. You call 4 firms. What is the probability that all four are owned by​ women? The probability that all four are owned by women is nothing. ​(Round to three decimal places as​ needed.)

Answer 1

0.017

Explanation:

The probability that each of the firms called is owned by a woman is 0.36. Therefore, the probability that ALL four of the firms called are owned by women is:

`P(W=4) = 0.36*0.36*0.36*0.36\\P(W=4) = 0.01679`

Rounding to three decimal places, the probability that all four are owned by women is 0.017