Question

Asked Apr 28, 2019

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Step 1

**The normal distribution:**

A continuous random variable *X* is said to follow normal distribution if the probability density function of *X* is,

Step 2

**Standard normal distribution:**

The standard normal distribution is a special case of normal distribution. The standard normal distribution will have mean 0 and standard deviation 1. If a random variable *y *follows normal distribution with mean (m) and standard deviation (s), then the standard normal variable *z *will be as given below:

Step 3

**Calculation:**

From the given graph, it is seen that the shaded region is between the IQ scores 75 and 120.

Here, the IQ score, say *X*, is normally distributed with mean *μ* = 100 and standard deviation *σ* = 15. Thus, the p...

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