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Approximately 300 million golf balls were lost in the United States in 2009. Assume that the number of golf balls lost in an 18-hole round is distributed as a Poisson random variable with a mean of 5 balls. a. What assumptions need to be made so that the number of golf balls lost in an 18-hole round is distributed as a Poisson random variable? Making the assumptions given in (a), what is the probability that b. 0 balls will be lost in an 18-hole round? c. 5 or fewer balls will be lost in an 18-hole round? d. 6 or more balls will be lost in an 18-hole round?
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