SOLUTION: In a recent survey eighteen percent of high school students said their favorite cookie was macadamia-white chocolate. You randomly select 4 students and ask each person to name the

Algebra ->  Probability-and-statistics -> SOLUTION: In a recent survey eighteen percent of high school students said their favorite cookie was macadamia-white chocolate. You randomly select 4 students and ask each person to name the      Log On


   

Question 755569: In a recent survey eighteen percent of high school students said their favorite cookie was macadamia-white chocolate. You randomly select 4 students and ask each person to name their favorite cookie. Find the probability that the number who say macadamia-white chocolate is their favorite cookie is:
A) exactly 2
B) less than 3
C) at least 3
D) greater than 1
E) at most 2
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
In a recent survey eighteen percent of high school students said their favorite cookie was macadamia-white chocolate. You randomly select 4 students and ask each person to name their favorite cookie. Find the probability that the number who say macadamia-white chocolate is their favorite cookie is:
X~Binomial(4,0.18)
A) exactly 2
P(X = 2) = %28matrix%282%2C1%2C4%2C2%29%29%280.18%5E2%29%280.82%5E2%29 = highlight%280.1307%29

B) less than 3
P(X < 3) = sum%28%28matrix%282%2C1%2C4%2Cx%29%29%280.18%5Ex%29%280.82%5E%284+-+x%29%29%2C+x+=+0%2C+2%29 = highlight%280.9798%29
C) at least 3
P(X ≥ 3) = 1 - 0.9798 = highlight%280.0202%29
D) greater than 1
P(X > 1) = sum%28%28matrix%282%2C1%2C4%2Cx%29%29%280.18%5Ex%29%280.82%5E%284+-+x%29%29%2C+x+=+2%2C+4%29 = highlight%280.1509%29
E) at most 2
P(X ≤ 2) = sum%28%28matrix%282%2C1%2C4%2Cx%29%29%280.18%5Ex%29%280.82%5E%284+-+x%29%29%2C+x+=+0%2C+2%29 = highlight%280.9798%29