There are three coins in the barrel. These coins, when flipped, will come up heads with respective probabilities 0.3, 0.5, 0.7. A coin is arbitarily selected from among these three and is then flipped ten times. Let N be number of heads obtained on the ten flips. Determine:
(a) P[N = 0).
(b) P{N=n},n = 0,l,...,W.
(c) Does N have the binomial distribution?
(d) If you win $1 each time a head appears and you lose $1 each time a tail appears, is this fair game? Describe.