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Using the normal distribution, it is found that the value of x is of 3.585.
<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 and the standard deviation are given, respectively, by .
The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:
Hence the value of x is of 3.585.
More can be learned about the normal distribution at brainly.com/question/24663213