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1. The California Department of Transportation conducted a study on the average number of trucks passing through Exit12 on the LA Parkway. The study showed that the averageis seven per hour and that the passing of these trucks is approximated by the Poisson distribution.
(a) Find the probability that no trucks passed between 5am and 6am on Monday.
(b) Find the probability that exactly two trucks passed during that time.
(c) Find the probability that exactly six truck passed during that time.
(d) Find the probability that thirteen or more trucks passed during that time.
If the service manager wants to 95% confident that the overall time is correctly estimated, with a 3 percent probability of error, what sample size should be taken.
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