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Question

1 Normal 1No Spac... Heading 1 Heading 2 Ttle Subtitle Subtle Em... Emphasis In ??0130 10.346 20.346 3 0.154 4 0.026 a) What is the mean of the distribution? b) What is the variance of the distribution? 5. The arrival of customers at a service desk follows a Poisson distribution . If they arrive at a rate o customers arrive in a five-minute period? f four every five minutes, what is the probability that more than four 6. Elly's Hotdog Emporium is famous for its chilidogs. Elly's latest sales indicate that 30% of the customers order their chilidogs with hot peppers. Suppose 15 customers are selected at random. What is the probability that exactly 10 customers will ask for hot peppers?Use the probability formula to find the answer.

Explanation / Answer

5)

? = 4 (mean)

Average number of customers during a five-minute period is 4

P( x > 4) = 1-P( x ? 4)

P(x=0) = e^-4 4^0 /0! = 0.018316

P(x=1) = e^-4 4^1 /1! = 0.073263

P(x=2) = e^-4 4^2 /2! = 0.146525

P(x=3) = e^-4 4^3 /3! = 0.195367

P(x=4) = e^-4 4^4 /4! = 0.195367

P( x> 4) = 1- 0.018316-0.073263-0.146525-0.195367-0.19...

=0.3716

6)

It looks as though you are trying to find 15C10, which is the first part of the binomial distribution formula.

In which case:

15C10 = 15! /[ 10! (15-10)! ]

If you have a scientific calculator, you can just enter <15> < nCr> <10>.

Once you have that, plug it into

P(x=10) = nCx * pi^x * (1-pi)^(n-x)

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