b) Suppose that X₁ and X₂ have the joint probability density function defined as
ƒ(X₁, X₂) = {WX₁X₂ , 0 ≤ x₁ ≤ 1, 0 ≤ x₂ ≤ 1
0, elsewhere
Find:
i) the value of w that makes f(x₁, x₂) a probability density function.
ii) the joint cumulative distribution function for X₁ and X₂.
iii.) P (X₂ ≤ 1/2 X₂ ≤ 3/4).
