42% of adults say cashews are their favorite kind of nut.

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Mathematics

Description

42% of adults say cashews are their favorite kind of nut. You randomly select 12 adults and ask his or her favorite nut. Fin the probability that the number who says cashews are their favorite nut is (a) Exactly 3, (b) At least 4, and (c) at most two. If convenient use technology to find the probabilities.

(a) P(3)=
(b) P(x is greater than or equal to 4)=
(c) P(x is less that or equal to 2) =

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Explanation & Answer

P(x=3 | n=12, p =0.42) = 0.121066

P(x>=4 | n=12,p=0.42) = 1- P(x<=3 | n=12,p=0.42)= 0.814735

P(x<=2 |n=12, p=0.42) = 0.064198


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