Question

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 6; σ = 2

Answer 1

Answer:

The indicated probability is

P(5<x<8)=0.5328

Step-by-step explanation:

The question is incomplete.

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 6; σ = 2.

The indicated probability is: P(5<x<8)

To calculate this probability we use the standarized normal distribution and the z-value for 5 and 8:

$z=\frac{x-\mu}{\sigma}=\frac{5-6}{2}= -0.5\\\\z=\frac{8-6}{2}=1$

Then the probabilty is calculated as:

$P(5$

P(5<x<8)=0.5328