5.109 If the probability density of a random variable is given by f (x) =  k ( 1 − x2 ) for 0 < x < 1 0 elsewhere find the value of k and the probabilities that a random variable having this probability density will take on a value

(a) between 0.1 and 0.2;

(b) greater than 0.5.

(c) Find μ and σ2.