Chapter 11.1, Problem 5E

To determine

To calculate:

The percent of area shown by the shaded region of following normal curve:

  

Answer to Problem 5E

The percent shown by shaded region given in normal distribution curve is $2.5\%$ .

Explanation of Solution

Given information:

  

Calculation:

Know that:

The normal distribution curve of mean $\mu$ and standard deviation $\sigma$ is given as:

  

Here, the percent of area shown between $\mu +2\sigma$ and $\mu +3\sigma$ is calculated as:

  $2.35+0.15=2.5\%$

So, the percent of area shown by shaded region given in normal distribution curve is $2.5\%$ .