Assume X has probability density function f(x)= 6x(1-x), for x belongs to[0,1]
i) Determine cummulative distribution function of X( Ensure to state domain)
ii) Deduce cummulative distribution function of W=1-X.. Does solution make sense?
iii) Assume Y is continuous random variable with cdf FY(y), determine distribution of random variable Z=FY(Y) (Suppose FY(y) has inverse)