Supposed normal distribution has a mean of 89 and a standard deviation of 7. What is P(x≤82)? NO LINKS!!! a. 0.975
b. 0.84
c. 0.16
d. 0.025

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Explanation:

Convert the x = 82 to a corresponding z score.

z = (x-mu)/sigma

z = (82 - 89)/7

z = -7/7

z = -1

Using the empirical rule (see chart below), roughly 68% of the distribution is within 1 standard deviation of the mean.

This leaves 1 - 0.68 = 0.32 = 32% of the distribution in both tails, and (32%)/2 = 16% of the area is in one tail, which converts to 0.16

About 16% of the normally distributed population is below z = -1.

So we can say

z value:-

As per z value chart

Option C is correct

a is the correct

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