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A continuous random variable X has pdf ?x(?) = (? + 1) ?^2, 0 ≤ ?...

A continuous random variable X has pdf ?x(?) = (? + 1) ?^2, 0 ≤ ? ≤ ? + 1, Where B is the
last digit of your registration number (e.g. for FA18-BEE-123, B=3).
a) Find the value of a
b) Find cumulative distribution function (CDF) of X i.e. ?? (?).
c) Find the mean of X
d) Find variance of X.

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