Problem
Suppose the lengths of human pregnancies are normally distributed with $\mu=266$ days and $\sigma=16$ days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with $\mu=266$ days and $\sigma=16$ days. The area to the left of $X=245$ is 0.0947 . Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The proportion of human pregnancies that last less than days is B. The proportion of human pregnancies that last more than days is
Solution
Step 1 ：Suppose the lengths of human pregnancies are normally distributed with \(\mu=266\) days and \(\sigma=16\) days.
Step 2 ：The figure to the right represents the normal curve with \(\mu=266\) days and \(\sigma=16\) days. The area to the left of \(X=245\) is 0.0947.
Step 3 ：Provide two interpretations of this area. Provide one interpretation of the area using the given values.
Step 4 ：The proportion of human pregnancies that last less than 245 days is \(\boxed{0.0947}\) or \(\boxed{9.47\%}\).
Step 5 ：The proportion of human pregnancies that last less than 245 days is \(\boxed{0.0947}\) or \(\boxed{9.47\%}\).
