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All applicants for admission to graduate study in business are given a standardized test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of applicants would you expect to have scores of 600 or above

Answer :

Answer:

The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%

Step-by-step explanation:

Explanation:-

Let "x" Scores are normally distributed

Given  mean of the Population = 460

standard deviation of the population = 80

Let X = 600

[tex]Z = \frac{x -mean}{S.D} = \frac{600-460}{80} =1.75[/tex]

The probability that applicants would you expect to have scores of 600 or above

P( X≥600) = P( Z≥ 1.75)

                = 1- P( Z≤1.75)

               = 1- ( 0.5 + A(1.75)

              =  1- 0.5 - A(1.75)

              = 0.5 - 0.4599 (from Normal table)

              = 0.0401

The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%

                         

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