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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
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.
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a PN 0 1 2 PN o p 03 1 3 p N 0 p 05 1 3 PN o p 0 1 1 3 03 10 05 10 07 10 b ...
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