Using the normal distribution, it is found that the area of the shaded region is of 0.7823.
In a <em>normal distribution</em> with mean and standard deviation
, the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- The mean is of 59, hence
.
- The standard deviation is of 7, hence
.
The shaded region is the region to the left of 64.2, hence it's area is the p<u>-value of Z when X = 64.2</u>.
has a p-value of 0.7823.
The area of the shaded region is of 0.7823.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213