Question

The probability is 0.314 that the gestation period of a woman will exceed 9 months. In 4000 human gestation periods, roughly how many will exceed 9 months?

Short answer

1256 cases will exceed 9 months in 4000 human gestation periods.

Step-by-step solution

Step 1. Given information.

The given statement is:

The probability is 0.314 that the gestation period of a woman will exceed 9 months.

 Step 2. Find how many women will exceed 9 months in 4000 human gestation periods.

It is given that a woman's gestation time beyond 9 months has a probability of 0.314.

According to the frequentist interpretation of probability, there will be 31.4 percent of cases where the gestation time exceeds 9 months in a substantial number of human gestation periods.

As a result, if there are 4000 human gestation cycles, then the number of women that will exceed 9 months is:

$$\begin{gathered} =4000\times 0.314 \\ =1256 \end{gathered}$$