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Entry to a certain University is determined by a national test. The scores on this test...

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 585. Will he be admitted to this university?

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Answer #1

Solution:- Given that mean = 500, standard deviation = 100

=> For x = 585,

z = (585-500)/100 = 0.85

=> P(Z < 0.85) = 0.8023 = 80.23%

Tom scored better than 80.23% of the students took the test and the will be admitted to this university.

  

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