Question

In a standard normal distribution, what is the area under the graph for z>0? Explain.

Step 1

*Normal distribution:*

A random variable *X *is said to follow a normal distribution if the probability distribution is as follows:

Step 2

*Standard Normal Distribution:*

A random variable *z *is said to be a standard normal variable if *z *follows normal distribution with mean µ = 0 and variance σ^{2 }=1. The formula for the probability distribution of *z *is,

Step 3

**Area under the graph for z >0:**

The standard normal distribution is symmetric about its mean, *z *= 0. Also, the total area under the standard normal probability distribution equals 1. Taken together, these two factors imply that the areas ...

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