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Three coins are in a barrel with respective probabilites of heads 0.3, 0.5, and 0.7. One...

Three coins are in a barrel with respective probabilites of heads 0.3, 0.5, and 0.7. One coin is randomly chosen and flipped 10 times. Let N = # of heads obtained in the ten flips.

a. Find P(N = 0).

b. Find P(N=n), n = 0, 1, 2, ..., 10.

c. Does N have a binomial distribution? Explain.

d. If you win $1 for each heads that appears, and lose $1 for each tails, is this a fair game? Explain.

Math   Statistics-And-Probability   
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