Question: Worldwide golf ball sales total more than $1 billion annually. One reason for such a large number of golf ball purchases is that golfers lose them at a rate of 4.5 per 18-hole round ( Snapshots, usatoday.com, January 29, 2004). Assume that the number of golf balls lost in an 18-hole round is distributed as a Poisson random variable.
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
i. 0 balls will be lost in an 18-hole round?
ii. 5 or less balls will be lost in an 18-hole round?
iii. 6 or more balls will be lost in an 18-hole round?