Question 198959: It is asserted that 80 percent of the cars approaching an individual toll booth in New Jersey are equipped with an EZ Pass transponder. Find the probability that in a sample of six cars:
a) all six will have the transponder
b) at least three will have the transponder
c) none will have a transponder.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! It is asserted that 80 percent of the cars approaching an individual toll booth in New Jersey are equipped with an EZ Pass transponder. Find the probability that in a sample of six cars:
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Since every car either has or does not have an EZ Pass, the problem
is binomial.
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a) all six will have the transponder
Ans: (0.8)^6 = 0.262
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b) at least three will have the transponder
Ans: 1 - binomcdf(6, 0.8, 2) = 0.983..
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c) none will have a transponder.
Ans: 0.2^6 = 0.000064
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Cheers,
Stan H.
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