# 11. [8] The probability that the coin lands tails is 40%. Because the probability is not...

11. [8] The probability that the coin lands tails is 40%. Because the probability is not 50% this is often called a trick coin. Let the random variable y count the number of tails out of a sample of three tosses. Find the probabilities of each value of the random variable Y. Show the work used to get answers. 0 1 2 3 Y PY)

Ans 1)

Probability of success (drawing a tail) = 40/100 = 0.4

Total number of trials n = 3

Formula to calculate Binomial probability:

Probability when there is 0 tail:

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Probability when there is 1 tail:

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Probability when there is 2 tail:

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Probability when there is 3 tail:

 Y 0 1 2 3 P(Y) 0.216 0.432 0.288 0.064

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