SOLUTION: 1. Suppose that 20% of the M&M's are red a) what is the probability that in a sample of 20 randomly selected M&M's,exactly 5 are red? I assume that there are 100 M&M's because

Algebra ->  Probability-and-statistics -> SOLUTION: 1. Suppose that 20% of the M&M's are red a) what is the probability that in a sample of 20 randomly selected M&M's,exactly 5 are red? I assume that there are 100 M&M's because       Log On


   



Question 752722: 1. Suppose that 20% of the M&M's are red
a) what is the probability that in a sample of 20 randomly selected M&M's,exactly 5 are red?
I assume that there are 100 M&M's because the question says 20% of the M&M's are red. I know that it is dependent because getting one red will affect the chances of getting another red, because there's no replacement. So the probability would be (20/100)(19/99)(18/98)(17/97)(16/96), but that's for the population and not for the sample.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Suppose that 20% of the M&M's are red
a) what is the probability that in a sample of 20 randomly selected M&M's,exactly 5 are red?
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Binomial Problem with n = 20 and p(red) = 0.20
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P(x = 5) = binompdf(20,0.2,5) = 0.1746
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Cheers,
Stan H.