Suppose the random variable X is normally distributed with mean and standard deviation . If Y
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Mean = a + bμ
sd = |b|σ
For instance, if X is distributed as N(25, 2) and Y = 7 - 3X, then the distribution of Y is normal with Mean = 7 - 3(25) = -68 and sd = |-3| × 2 = 6.
(a) At the "low" setting of a water heater, the temperature X of water is normally distributed with Mean = 102°F and sd = 4°F. If Y refers to the temperature measurement in the centigrade scale, that is, Y = |(X - 32), what is the distribution of Y?
(b) Referring to part (a), find the probability of [35 < Y < 42].
Distribution
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Related Book For
Statistics Principles And Methods
ISBN: 9780470904114
7th Edition
Authors: Richard A. Johnson, Gouri K. Bhattacharyya
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