Question

I only need help on Question 31 Part A thats it.

Answer 1

Step 1

Given;

Step 2

Find the z-score

$\begin{gathered} z=\frac{x-\mu}{\sigma} \\ z=\frac{308-268}{15} \end{gathered}$$z=\frac{8}{3}$

Find the probability associated with the z-score;

$P=0.996169619432$

The required probability will be;

$\begin{gathered} 1-0.996169619432 \\ =0.00384 \end{gathered}$

Answer;

$0.00384$

This suggests that the chance of the pregnancy lasting 308 days or longer is very little.