Suppose That the Distribution of Maximum Daily Temperatures in Hacienda $$F = \frac { 9 } { 5 } C + 32 .$$

question 48

Essay

Suppose that the distribution of maximum daily temperatures in Hacienda Heights,
CA, for the month of December has a mean of 17˚Celsius with a standard deviation of
3˚Celsius. Let the random variable F be the maximum daily temperature in degrees
Fahrenheit. The relation between Fahrenheit degrees (F) and Celsius degrees (C) is: $$F = \frac { 9 } { 5 } C + 32 .$$ a) What is the mean of F?
b) What is the standard deviation of F?

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