Topten is a leading source on energy-efficient products. Their list of the top f
ID: 3262861 • Letter: T
Question
Topten is a leading source on energy-efficient products. Their list of the top four brands in terms of fuel efficiency for 2014 includes ten Hondas.
Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top ten. (Round your answers to 3 decimal places.)
What is the likelihood that in the sample of three at least one Honda is included? (Round your answer to 3 decimal places.)
a.Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top ten. (Round your answers to 3 decimal places.)
Explanation / Answer
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a. Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top ten.
P(X=3) = 4C3 /10C3 = 4/120 = 1/30
P(X=2) = 4C2*6C1/ 10C3 = 36/120 =9/30
P(X=1) = 4C1*6C2/ 10C3 = 60/120 =1/2
P(X=0) =6C3/10C3 = 20/120 =1/6
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b. What is the likelihood that in the sample of three at least one Honda is included?
P(at least one) = 1 - P(none)
= 1 - 1/6
= 5/6