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31% of adults say cashew are their favorite kind of nut. You randomly select 12 adults...

31% of adults say cashew are their favorite kind of nut. You randomly select 12 adults and ask each to name his or her favorite nut. Find the probability that the number who say cashews are their favorite nut is no more than 2.

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Answer #1

Let X = Number of adults who say cashew are their favorite kind of nut.

so from the given information X follows binomial distribution with parameters n = 12 and p = 0.31

Here we want to find the probability that the number who say cashews are their favorite nut is no more than 2.

Mathematically, P( X <= 2 ).

Let's use Excel:

P(X <= 2) = "=BINOMDIST(2,12,0.31,1)" = 0.2296 ( this is the final answer).

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