SOLUTION: Food Safety. The article cited research by the Food Marketing Institute, which indicates that 66% of consumers in the United States are confident that the food they buy is safe. Su

Algebra ->  Probability-and-statistics -> SOLUTION: Food Safety. The article cited research by the Food Marketing Institute, which indicates that 66% of consumers in the United States are confident that the food they buy is safe. Su      Log On


   

Question 1197197: Food Safety. The article cited research by the Food Marketing Institute, which indicates that 66% of consumers in the United States are confident that the food they buy is safe. Suppose that six consumers in the United States are randomly sampled and asked whether they are confident that the food they buy is safe. Determine the probability that the number answering in the affirmative is: a) exactly two. b) exactly four. c) at least two. d) Determine the probability distribution of the number of U.S. consumers in a sample of six who are confident that the food they buy is safe.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
Binomial distribution:  p = .66 , n= 6
P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+  | P(2) = (6C2)(.66^2)(.34^4)

Trust Your calculator is doing the computations for You:
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P(x) is binompdf(n, p, x-value).
P(2) = binompdf(6, .66, 2)=  .0873
P(4) = binompdf(6, .66, 4)=  .3290
P(x ≥ 2) =  1 -  P(x ≤  1) = 1 - binomcdf (6,.66,1) = 1 -.018 =  .982

Recommend Using stattrek.com to check Your results,
until You are familiar with Using Your Calculator.

Feeling comfortable with Your calculator is key to Your success working
with the various Distributions.
Wish You the Best in your Studies.