Question 835747: A recent study by the American Highway Patrolman’s association reveals that 60% of American drivers use their seat belts. A sample of 15 drivers on interstate 75 is selected.
a. What is the probability that 6 drivers are using seatbelts?
b. What is the probability that between 5 and 7 (both included) are wearing seat belts?
c. What is the probability that more than 8 drivers were wearing seat belts?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A recent study by the American Highway Patrolman’s association reveals that 60% of American drivers use their seat belts. A sample of 15 drivers on interstate 75 is selected.
Binomial Problem with n = 15 and p(use) = 0.60
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a. What is the probability that 6 drivers are using seatbelts?
P(x = 6) = 15C6*0.6^6*0.4^9 = binompdf(15,0.6,6) = 0.0612
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b. What is the probability that between 5 and 7 (both included) are wearing seat belts?
P(5<= x <=7) = binomcdf(15,0.6,7)-binomcdf(15,0.6,4) = 0.2038
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c. What is the probability that more than 8 drivers were wearing seat belts?
P(9<= x <= 15) = 1-binomcdf(15,0.6,8) = 0.6098
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Cheers,
Stan H.
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