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Please show all work.Suppose an unfair coin comes up tails 34.7 o.pdf

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Please show all work. Suppose an unfair coin comes up tails 34.7% of the time if it is flipped. If the coin is flipped 14 times, what is the probability that: a) it comes up heads exactly 8 times? b) it comes up tails more than 12 times? Solution The number of tails is a Binomial Distributed variable with n=14 and p = 0.347 a. P(Heads = 8) = P(Tails = 14-8=6) = 14C6 * (0.347)6 * (1-0.347)14-6 = 0.1733 b. P(Tails > 12) = P(Tails = 13) + P(Tails = 14) = 14C13 * (0.347)13 * (1-0.347)14-13 + 14C14 * (0.347)14 * (1-0.347)14-14 = 0.00001003468.

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Please show all work. Suppose an unfair coin comes up tails 34.7% of the time if it is flipped. If the coin is flipped 14 times, what is the probability that: a) it comes up heads exactly 8 times? b) it comes up tails more than 12 times? Solution The number of tails is a Binomial Distributed variable with n=14 and p = 0.347 a. P(Heads = 8) = P(Tails = 14-8=6) = 14C6 * (0.347)6 * (1-0.347)14-6 = 0.1733 b. P(Tails > 12) = P(Tails = 13) + P(Tails = 14) = 14C13 * (0.347)13 * (1-0.347)14-13 + 14C14 * (0.347)14 * (1-0.347)14-14 = 0.00001003468

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  • 1. Please show all work. Suppose an unfair coin comes up tails 34.7% of the time if it is flipped. If the coin is flipped 14 times, what is the probability that: a) it comes up heads exactly 8 times? b) it comes up tails more than 12 times? Solution The number of tails is a Binomial Distributed variable with n=14 and p = 0.347 a. P(Heads = 8) = P(Tails = 14-8=6) = 14C6 * (0.347)6 * (1-0.347)14-6 = 0.1733 b. P(Tails > 12) = P(Tails = 13) + P(Tails = 14) = 14C13 * (0.347)13 * (1-0.347)14-13 + 14C14 * (0.347)14 * (1-0.347)14-14 = 0.00001003468