In a recent year, it was reported that approximately 300 million golf balls were lost in the United States. 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?