7. Let the probability density function of tomorrows Celsius temperature be h. In terms of h, calculate

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7. Let the probability density function of tomorrow’s Celsius temperature be h. In terms of h, calculate the corresponding probability density function and its expectation for Fahrenheit temperature. Hint: Let C and F be tomorrow’s temperature in Celsius and Fahrenheit, respectively. Then F = 1.8C + 32. 8. Let X be a continuous random variable with probability density function f (x) =    2/x2 if 1 < x < 2 0 elsewhere. Find E(ln X).

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