Question: Consider the beta probability density function f(x) = Ax9 (1-x)3 for 0 < x < 1 and f(x) = 0 elsewhere. (a) What are the

Consider the beta probability density function
f(x) = Ax9 (1-x)3
for 0 < x < 1 and f(x) = 0 elsewhere.
(a) What are the values of the parameters a and b!
(b) Use the answer to part (a) to calculate the value of A.
(c) What is the expectation of this distribution?
(d)
What is the standard deviation of this distribution?
(e)
Calculate the cumulative distribution function of this distribution.

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