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There are three coins in a barrel. These coins, when flipped, will come up heads with respective probabilities 0.

There are three coins in a barrel. These coins, when flipped, will come

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. Find

(a) P[N = 0).

(b) P{N=n},n = 0,l,...,W.

(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.
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