A continuous random variable X has probability density function
f(x) = a for −2 < x < 0
bx for 0 < x ≤ 1
0 otherwise
where a and b are constants. It is known that E(X) = 0.
(a) Determine a and b.
(b) Find Var(X)
(c) Find the median of X, i.e. a number m such that P(X ≤ m) = 1/2
A continuous random variable X has probability density function f(x) = a for −2 < x...
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