Question 1120596: 32% of adults say cashews 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 (a) exactly three, (b) at least four, and (c) at most two. If convenient, use technology to find the probabilities
(a) P(3)=_____________
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! For 3 this is 12C3, the number of ways it can happen *.32^3*0.68^9=0.2241
At least 4 is 1-biomialcdf(12,.32,3)=0.5681
At most 2 is 0,1,2
for 0 it is .68^12 or 0.0098
for 1 it is 12*.32*.68^11 or 0.0552
for 2 it is 66*.32^2*.68^10 or 0.1428
That probability total is 0.2078
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