Consider the beta probability density function f(x) = Ax9 (1-x)3 for 0 < x < 1 and

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 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 What is the standard deviation of this Calculate the cumulative function of this Distribution
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