2. 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). What is the probability that a. Zero balls will be lost in an 18-hole round? b. Five or less balls will be lost in an 18-hole round? c. Six or more balls will be lost in an 18-hole round? (Source: LSKB, Fifth edition)
I need to enter in minitab
here this is poisson distribution with parameter =45
a)
probability that a. Zero balls will be lost in an 18-hole round:
go to calc -probability distribution: poisson
Poisson with mean = 4.5
x P( X = x )
0 0.0111090
probability is 0.0111090
b)
go to calc -probability distribution: poisson
Poisson with mean = 4.5
x P( X ≤ x )
5 0.702930
c)
for Six or more balls =P(X>=6) =-1-P(X<=5)=1-0.702930 =0.297070
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