The times when a photocopier breaks down occur randomly and independently of eac

Question

The times when a photocopier breaks down occur randomly and independently of each other. The average rate of breakdowns is 3 times per week. a. The number of times that the photocopier will break down in a day has ________ distribution. A. An exponential B. a binomial C. a normal D. a Poisson b. The number of hours between breakdown has _______ distribution. A. a normal B. a binomial C. a Poisson D. an exponential c. The time measured in days between the beginning of the work week and the next photocopier breakdown has ______ distribution. A. an exponential B. a normal C. a Poisson D. a binomial d. The number of photocopier breakdowns that occur in a given two week period has _______ distribution. A. a binomial B. a Poison C. an exponential D. a normal

Explanation / Answer

1.

a. Answer is D. Poisson distribution

The Poisson models the number of arrivals in a certain fixed time. It is a discrete distribution, taking on values 0,1,2,…0,1,2,…. The exponential models the waiting time between consecutive arrivals. It is a continuous distribution. There is a connection, since they are used in modelling two different features of the same phenomenon. But they are quite different distributions.

b. Due to above reasons,

D. an exponential distribution is the right answer

c.

A. an exponential distribution is the right answer

d.

B is the right answer. Possion distribution

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