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

Algebra ->  Probability-and-statistics -> 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       Log On


   

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) About Me  (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...
--------------------------
B. Explain why this scenario would meet the criteria of a binomial distribution.
Two possible outcomes.
Selections are independent.
Constant probability of success
====================
Cheers,
Stan H.