Hi all can somebody help me with this: An educational testing corporation has de

Question

Hi all can somebody help me with this:
An educational testing corporation has designed a standard test ofmechanical aptitude. Scores on this test are normally distributedwith a mean of 75 and a standard deviation of 15.

a) If a subject is randomly selected andtested, find the probability that his score will be between 75 and100.
b) If a subject is randomly selected and tested, find theprobability that his score will be between 70 and 90.

Please show all work, Thank You will give aLifesaver.

Explanation / Answer

A) z(75) = (75 - 75)/15 = 0 --> p = .5 z(100) = (100 - 75) / 15 = 1.667 --> p = .9525 Thus, the probability that the score will be between 75 and 100 is.9525 - .5 = .4525 B) z(70) = (70 - 75) / 15 = -.33 --> p = .3707 z(90) = (90 - 75) / 15 = 1 --> p = .8413 Thus, the probability that the score will be between 70 and 90 is.8413 - .3707 = .4706

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