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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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BuyFindarrow_forward

Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Find the probability that a person selected at random scored between 400 and 600 on the test described in Example 6.

In 2014, the scores on the Graduate Management Admission Test (GMAT) could be modeled by a normal probability density function with a mean of μ =   547.35 and a standard deviation of σ =   547.35 . A person who took the GMAT is selected at random. What is the probability that the person scored between 600 and 700? What is the probability that the person scored between 700 and 800? (Source: Graduate Management Admission Council)

To determine

To calculate: The probability that the person can score 400and600 with a mean of

μ=547.35 and a standard deviation of σ=121.08.

Explanation

Given Information:

In 2014, the scores on the Graduate Management Admission Test (GMAT) could be modelled by a normal probability density function with a mean of μ=547.35 and a standard deviation of σ=121.08.

Formula used:

Standard normal deviation can be written as;

P(axb)=ab1σ2πe(xμ)22σ2dx

Calculation:

Consider the primary equation,

P(axb)=ab1σ2πe<

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