Chapter 7.3, Problem 1.1CYU

To determine

To find: The probability that a randomly selected women has pregnancy that would be above 270 days.

Answer to Problem 1.1CYU

The probability is 0.4013.

Explanation of Solution

Given:

  $\begin{array}{l}\text{Population mean }\left(\mu \right)=266\\ \text{Population standard deviation}\left(\sigma \right)=16\end{array}$

Calculation:

The probability that a randomly selected women has pregnancy that would be above 270 days can be calculated as:

  $\begin{array}{c}P\left(X>270\right)=P\left(\frac{x-\mu }{\sigma }>\frac{270-\mu }{\sigma }\right)\\ =P\left(Z>\frac{270-266}{16}\right)\\ =P\left(Z>0.25\right)\\ =0.4013\end{array}$

The required probability is 0.4013.