Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distribute
d
with a mean of 100 and a standard deviation of 15
86
The area of the shaded region is (Round to four decimal places as needed)
Clear all
1 answer:
Using the normal distribution, it is found that the area of the shaded region is of 0.8238.
<h3>Normal Probability Distribution</h3>
In a normal distribution 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 .
- The standard deviation is of .
- The area of the shaded region is 1 subtracted by the p-value of Z when X = 86.
Hence:
has a p-value of 0.1762.
1 - 0.1762 = 0.8238.
The area of the shaded region is of 0.8238.
More can be learned about the normal distribution at brainly.com/question/24663213
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