Question

A normal distribution has a mean of 4 and a standard deviation of 1. What percent of values are from 4 to 7?

IN% of the values are from 4 to 7.
(Type an integer or a decimal.)

Answer 1

49.865%

Explanation:

Given that:

μ = 4 ; σ = 1

For x = 4

P(x < 4) :

Z score (x - μ) / σ

P(x < 7) - P(x < 4)

((7 - 4) / 1) - ((4 - 4) / 1)

P(Z < 3) - P(Z < 0)

Usibg the Z probability calculator :

0.99865 - 0.5

= 0.49865

= 0.49865 * 100

= 49.865%