Question

Human health Pregnancy is a normally distributed variable with an average of 280 days and a standard deviation of 10 days. a. What percentage of mothers will longer than 1 week ( 1 week =7 days)? b. What percentage of mothers will longer than 2 weeks ( 1 week =7 days)?

Answer 1

To find the percentage of mothers with a pregnancy longer than 1 week (7 days), we calculate the z-score for 7 days and use a standard normal distribution table or calculator.

Step-by-step explanation:

To find the percentage of mothers who will have a pregnancy longer than 1 week (7 days), we need to find the area under the normal distribution curve to the right of 7 days.

To do this, we first need to calculate the z-score for 7 days using the formula:

z = (x - μ) / σ, where x is the value we want to find the percentage for, μ is the mean, and σ is the standard deviation.

Plugging in the values, we have z = (7 - 280) / 10 = -27.3.

Using a standard normal distribution table or a calculator, we can find that the percentage of mothers who will have a pregnancy longer than 1 week is approximately 100%.