7. Consider the following probability density function for a continuous random variable X: f(x) = if 1

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7. Consider the following probability density function for a continuous random variable X:
f(x) =
(b) U(x) = x².
if 1 < x <e¹
0 otherwise
where e'is the exponential at 1
Compute the mathematical expectations of the following functions.
(a) U(x) = r.
Transcribed Image Text:7. Consider the following probability density function for a continuous random variable X: f(x) = (b) U(x) = x². if 1 < x <e¹ 0 otherwise where e'is the exponential at 1 Compute the mathematical expectations of the following functions. (a) U(x) = r.
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