Question

A vertical line drawn through a normal distribution at z = +0.50 separates the distribution into two sections, the body and the tail. What proportion of the distribution is in the body?

Answer 1

Answer:

69.15% of the distribution is in the body.  

Step-by-step explanation:

We are given the following in the question:

z = +0.50 separates the distribution into two sections, the body and the tail.

We have to find the proportion of body in the distribution.

Thus, we have to evaluate:

$P(z<0.50)$

This can be calculate from the standard normal distribution table.

$P(z<0.50) = 0.6915 = 69.15\%$

Thus, 69.15% of the distribution is in the body and the remaining part is in the tail.