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Snowcat [4.5K]
3 years ago
9

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round y

our answer to four decimal places.) μ = 6; σ = 2
Mathematics
1 answer:
alexdok [17]3 years ago
6 0

Answer:

The indicated probability is

P(5<x<8)=0.5328

Step-by-step explanation:

The question is incomplete.

<em>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.</em>

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

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

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