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GRE SCORES: The test scores for the verbal reasoning and the quantitative reasoning section of the...

GRE SCORES: The test scores for the verbal reasoning and the quantitative reasoning section of the Graduate Record Examination (GRE) are normally distributed. In a recent year, the mean test score was 150 and the standard deviation was 8.75. The test score of a student is selected at random. What is the probability that the student's test score is LESS THAN 162? Round your answer to 4 decimals.

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Answer #1

Solution :

Given that,

mean = = 150

standard deviation = = 8.75   

P(X<162 ) = P[(X- ) / < (162-150) / 8.75]

= P(z < 1.37)

Using z table

= 0.9147

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