Entry to a certain university is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test. Tom takes the test and scores 565. Will he be admitted to this university?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Entry to a certain university is determined by a national test. The scores on this test are
normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to
be admitted to this university and he knows that he must score better than at least 70% of
the students who took the test. Tom takes the test and scores 565. Will he be admitted to
this university?
Tom scored better than 77.34% of the students who took the test and he will be
admitted to this university
Tom scored better than 70.88% of the students who took the test and he will be
admitted to this university
Tom does not admitted to this university
Tom scored better than 74.22% of the students who took the test and he will be
admitted to this university
Transcribed Image Text:Entry to a certain university is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. Tom wants to be admitted to this university and he knows that he must score better than at least 70% of the students who took the test. Tom takes the test and scores 565. Will he be admitted to this university? Tom scored better than 77.34% of the students who took the test and he will be admitted to this university Tom scored better than 70.88% of the students who took the test and he will be admitted to this university Tom does not admitted to this university Tom scored better than 74.22% of the students who took the test and he will be admitted to this university
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