SOLUTION: A local bakery determines that the probability of a customer ordering a blueberry muffin is 50%. 5 customers come into the bakery. A. What is the probability that 3 out of the 5

Question 126060: A local bakery determines that the probability of a customer ordering a blueberry muffin is 50%. 5 customers come into the bakery.
A. What is the probability that 3 out of the 5 order a blueberry muffin?
B. Explain why this scenario would meet the criteria of a binomial distribution.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A local bakery determines that the probability of a customer ordering a blueberry muffin is 50%. 5 customers come into the bakery.
A. What is the probability that 3 out of the 5 order a blueberry muffin?
P(x=3) = 5C3(1/2)^3(1/2)^2 = 10*(1/32) = 0.3125...
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B. Explain why this scenario would meet the criteria of a binomial distribution.
Two possible outcomes.
Selections are independent.
Constant probability of success
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Cheers,
Stan H.

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