SOLUTION: 1. It is asserted that 65 percent of the cars approaching an individual toll both in New Jersey are equipped with an E-ZPass transponder. Find the probability that in a sample of s

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Question 586040: 1. It is asserted that 65 percent of the cars approaching an individual toll both in New Jersey are equipped with an E-ZPass transponder. Find the probability that in a sample of seven cars:
(a) All seven will have the transponder. (Round your answer to 4 decimal places.)

Probability

(b) At least four will have the transponder. (Round your answer to 4 decimal places.)

Probability

(c) None will have a transponder. (Round your answer to 6 decimal places.)

Probability

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. It is asserted that 65 percent of the cars approaching an individual toll both in New Jersey are equipped with an E-ZPass transponder.
Binomial Problem with n = 7; p(have) = 0.65 ; p(not have) = 0.35
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Find the probability that in a sample of seven cars:
(a) All seven will have the transponder. (Round your answer to 4 decimal places.)
Ans: 0.65^7 = 0.0490
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Probability
(b) At least four will have the transponder. (Round your answer to 4 decimal places.)
Ans: P(4<= x <=7) = 1 - P(0<= x <=3) = 0.8002
Probability
(c) None will have a transponder. (Round your answer to 6 decimal places.)
Ans: P(x = 0) = 0.35*7 = 0.000064339
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Cheers,
Stan H.
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