Question: 7. Let the probability density function of tomorrows Celsius temperature be h. In terms of h, calculate the corresponding probability density function and its expectation
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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