Binomial Probability Distributions 3 The N ational Coffee Association reports th

Question

Binomial Probability Distributions 3 The N ational Coffee Association reports that among individuals in the 20 to 29 age bracket, drnnk coffee. If five people in that age bracket are randomly selected, find each of the following probabilities. To receive credit, you MUST show the necessary information and how you entered it into your calculator a. There is exactly one coffeedfrinker. (2 points) (2 points) b· There are exactly three coffee drinkers 3 points) c. There are no more than two coffee drinkers. 3 points) d. There are at least three coffee drinkers.

Explanation / Answer

Ans:

Binomial distribution:

n=5,p=0.41

P(x=r)=5Cr*0.41r*(1-0.41)5-r

a)P(x=1)=5C1*0.411*0.594=0.2484

b)P(x=3)=5C3*0.413*0.592=0.2399

c)P(x<=2)=P(x=0)+P(x=1)+P(x=2)

=5C0*0.410*0.595+5C1*0.411*0.594+5C2*0.412*0.593

=0.0715+0.2484+0.3452

=0.6651

d)P(x>=3)=1-P(x<=2)=1-0.6651=0.3349

x BINOMDIST(x,5,0.41,FALSE) 0 0.0715 1 0.2484 2 0.3452 3 0.2399 4 0.0834 5 0.0116

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