Question 1073347
Allison scored 75 on both tests
:
Physics   (75 - 70) / 8  = 0.625
Chemistry (75 - 68) / 10 = 0.700
:
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Allison performed better on the Chemistry test, since
her score is 0.7 of one standard deviation which is higher
than her performance on the Physics test
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:
62 in physics is (62 - 70) / 8 = -1
:
58 in chemistry is (58 - 68) / 10 = -1
:
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58 in Chemistry is equivalent to 62 in Physics
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:
Probability(P) ( X > 88 ) = 1 - P ( X < 88 )
:
z-score = ( 88 - 68 ) / 10 = 2
:
consult table of z-values for associated probability 
:
P ( X < 88 ) = 0.9772
:
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P ( X > 88 ) = 1 - 0.9772 = 0.0228
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