There are three coins in a barrel. These coins, when flipped. will conic up heads with respective probabilities 0.3. 0.5.0.7. A coin is randomly selected from among these three and is then flipped ten times. Let N be the number of heads obtained on the ten flips.

(a) Find P[N = 0]

(b) Find P[N = n], n = 0. 1,………..,10.

(c) Does N have a binomial distribution?

(d) If you win $1 each time a head appears and you lose $1 each time a tail appears. is this a fair game? Explain.