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A certain “unfair” coin is one where the probability of a head showing when flipped is...

A certain “unfair” coin is one where the probability of a head showing when flipped is 0.35 and the probability of a tail showing is 0.65. An experiment consists of flipping 8 of these “unfair” coins. Let the random variable x be the number of tails showing. Determine the probability of 3 of the 8 coins showing tails.

Math   Statistics-And-Probability   
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Answer #1

Let denote the random variable that denotes the number of tails that appears in 8 roses of the coin.

The situation here is a binomial probability model with n = 8 and p = .65, where p is the probability of a tail showing up.

Theus we need to find the probability of exactly 3 coins shows heads. So we need to find,

Hence

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