1) For random variable X~F with density
a)
f(x) = {x√x, x∈(0,1)
0, x∉(0,1)
i) find x from the condition ∫∞−∞f(x)dx=1
ii) find E(x) & Var(x). Recall ∫∞−∞x^γdx=x^(γ+1)/(γ+1) + c, γ≠−1
iii) find Fx(x0), median and P(x<0,6)
b) Assume in the box 4 black balls & 3 white balls
We draw 4 balls.
What is the true probability that among those 4 balls we
have 2 black & 2 white balls?
