SOLUTION: I am having some trouble with understanding binomial distributions, I hope someone could please help me with this problem. 10% of adults say oatmeal raisin is their favorite cook

Question 183124: I am having some trouble with understanding binomial distributions, I hope someone could please help me with this problem.
10% of adults say oatmeal raisin is their favorite cookie. You randomly select 12 aldults and ask each to name his or her favorite cookie. Find the probability that the number who say oatmeal raisin is their favorite cookie is
a) exactly four
b) at least four
c) less than four.
I would like to thank you in advance for your help, I need to pass this class.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
10% of adults say oatmeal raisin is their favorite cookie.
That is a population parameter: p = 0.1
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Now you have some sample information:
You randomly select 12 adults and ask each to name his or her favorite cookie.
That tells you sample size = n = 12
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Find the probability that the number who say oatmeal raisin is their favorite cookie is:
a) P(exactly four) = 12C4(0.1)^4*(0.9)^8 = 0.0213
--------------------
b) at least four
Here I will use a calculator; you might use a calculator or a binomial table.
P(at least four) = 1 - P(0 <=x<= 3) = 0.02564
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c) P(less than four) = P(0 <= x <= 3) = 0.9746
------------------
Cheers,
Stan H.

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