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April 18, 2015

April 18, 2015

Posted by **sasha** on Saturday, January 5, 2013 at 9:13pm.

a. If the inspector checks 10 drivers, what is the probability that at least one driver never uses a cell phone while driving?

b. Suppose the inspector checks 1000 drivers. Use the normal approximation to the binomial distribution to find the approximate probability that at least 13% of these drivers never use a cell phone while driving.

c. If the drivers are inspected sequentially as they arrive randomly at the inspection station, what is the probability that the first driver who uses a cell phone while driving is the third driver checked?

d. What is the expected number of drivers who must be checked to find the first who never uses a cell phone while driving?

e. What is the expected number of drivers who must be checked to find the first driver who uses a cell phone while driving?

f. If it costs $5 to question each driver, what is the expected cost and standard deviation of questioning up to and including the first driver who uses a cell phone while driving?

g. Will the cost of inspection in part f often exceed $15? Explain.

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