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5) Suppose that the scores on a reading ability test are normally distributed with a mean of 65 and a standard deviation of 8. a)

  1. 5) Suppose that the scores on a reading ability test are normally distributed with a mean of 65 and a standard deviation of 8.

a) If one student is chosen at random, what is the probability that the students score is greater than 81 points on this test?

_______________________________________Answer (5 points)

b) If 500 students took reading ability test how many would expect to earn score greater than 81 points? _______________________________________Answer (5 points)

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BIU ~ X x ADA- A EX Sc THA Standard Normal Cumulative Probability Tables Cumulative probabilities for POSITIVE z-values are shown in the following table: 0.00 0.016 0.02 0.036 0.0 0.5000 0.5040 0.04 0.5080 0.056 0.065 0.076 0.1 0.53986 0.5438 0.51206 0.51606 0.086 0.5199- 0.09% 0.2 0.57936 0.54786 0.55176 0.5871

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