SOLUTION: X= 7, 8, 9, 10, 11, 12, 13 and the corresponding p(X)= 0.05, 0.08, 0.10, 0.14, 0.28, 0.21, 0.14 The random variable X is the size of a popular shoe purchased. Suppose 3 rand

Algebra ->  Probability-and-statistics -> SOLUTION: X= 7, 8, 9, 10, 11, 12, 13 and the corresponding p(X)= 0.05, 0.08, 0.10, 0.14, 0.28, 0.21, 0.14 The random variable X is the size of a popular shoe purchased. Suppose 3 rand      Log On


   



Question 354050: X= 7, 8, 9, 10, 11, 12, 13 and the corresponding p(X)= 0.05, 0.08, 0.10, 0.14, 0.28, 0.21, 0.14
The random variable X is the size of a popular shoe purchased.
Suppose 3 randomly selected customers each purchase a pair of these sneakers. What is the probability that exactly two of three buy size 11 sneakers?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
X = 7, 8, 9, 10, 11, 12, 13 and the corresponding
p(X)= 0.05, 0.08, 0.10, 0.14, 0.28, 0.21, 0.14
The random variable X is the size of a popular shoe purchased.
Suppose 3 randomly selected customers each purchase a pair of these sneakers. What is the probability that exactly two of three buy size 11 sneakers?
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Binomial Problem with n = 3 and p = 0.28
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P(x = 2) = 3C2*(0.28)^2*(0.72) = binompdf(3,0.28,2) = 0.1693
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Cheers,
Stan H.