2. Let z be the normal random variable. A value is to be selected at random from z distribution. Find the value of c such that, a. P(z < c) = 0.9772 b. P(z < c) = 0.0688 c. P(z > c) = 0.9599 Suppose that in a examination, the cutoff score for passing is 75 for 250 people. If the mean of the test is 84 with a standard deviation of 5 and the scores are normally distributed, (a) what proportion of people passed the test? (b) how many have scores between 80 and 93?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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2. Let z be the normal random variable. A value is to be selected at random from z
distribution. Find the value of c such that,
a. P(z < c) = 0.9772
b. P(z < c) = 0.0688
c. P(z > c) = 0.9599
Suppose that in a examination, the cutoff score for passing is 75 for 250 people. If the mean of
the test is 84 with a standard deviation of 5 and the scores are normally distributed, (a) what
proportion of people passed the test? (b) how many have scores between 80 and 93?
Transcribed Image Text:2. Let z be the normal random variable. A value is to be selected at random from z distribution. Find the value of c such that, a. P(z < c) = 0.9772 b. P(z < c) = 0.0688 c. P(z > c) = 0.9599 Suppose that in a examination, the cutoff score for passing is 75 for 250 people. If the mean of the test is 84 with a standard deviation of 5 and the scores are normally distributed, (a) what proportion of people passed the test? (b) how many have scores between 80 and 93?
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