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3. Let X ~ Unif(1,2) be a uniform random variable on the interval (1,2). (a) What is the exact value of the mean of X? (b) Co
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Answer #1

> ### x~U(1,2)
> #a)mean of X
> mean=(1+2)/2
> mean
[1] 1.5


> #b) standard deviation of X
> var=(2-1)^2/12
> var
[1] 0.08333333
> std_deviation=sqrt(var)
> std_deviation
[1] 0.2886751


> #c) suppose y=E[1/x]
> y=1/mean
> y=round(y,2)
> y
[1] 0.67

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