Let X1, . . . , Xn be a random sample from a triangular probability distribution whose density function and moments are:
fX(x) = * I{0 x b}
a. Find the mean µ of this probability distribution.
b. Find the Method Of Moments estimator µ(hat) of µ.
c. Is µ(hat) unbiased?
d. Find the Median of this probability distribution.
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Let X1, . . . , Xn be a random sample from a triangular probability distribution...
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