Purchase Solution

Poisson Distribution and Machines

Not what you're looking for?

Ask Custom Question

The Rockwell Electronics Corporation retains a service crew to repair machine breakdowns that occur on an average of . = 3 per day (approximately Poisson in nature). The crew can service an average of µ = 8 machines per day, with a repair time distribution that resembles the exponential distribution.

Please help me with the following:

A) What is the utilization rate of this service system?
B) What is the average downtime for a machine that is broken?
C) How many machines are waiting to be serviced at any given time?
D) What is the probability that more than one machine is in the system? What is the probability that more than two are broken and waiting to be repaired or being serviced, as well as three and four machines?

Please put in Excel file.

Purchase this Solution
Solution Summary

The solution discusses Poisson distribution and determines the utilization rate, average downtime, how many and what the probability is of more than one machine in the system (see Excel document attached).

Purchase this Solution
Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Probability Quiz

Some questions on probability

Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

View More Free Quizzes
Related BrainMass Solutions

  • Waiting line problems

    Q14-29 One mechanic services 5 drilling machines for a steel plate manufacturer. Machines break down on an average of once every 6 working days, and breakdowns tend to follow a Poisson distribution.

  • Normal distribution, exponential & Poisson distributions

    The heights of people, the size of things produced by machines, and errors in measurement follow the normal distribution(4). Exponential Distribution: Each millisecond a coin is tossed and it lands a heads a new customer enters a store.

  • Poisson distribution probabilities and recursion relationship

    279724 Poisson distribution probabilities and recursion relationship The Poisson distribution is given by the following P(x,λ)=e ^ -λ * λ^x! x=0,1,2,3.....j.....

  • Poisson Distribution

    257661 Poisson Distribution Let X have a Poisson distribution with a mean of 4. Find a) P(23) c) P(X<3) Let X have a Poisson distribution with a variance of 4.

  • Number of Incoming Phone Calls at a Company Switchboard

    Use a=.10 and the following data to test the assumption that the incoming phone calls follow a Poisson distribution.

  • Variance of Poisson random variable

    Poisson Distribution The number of false alarms a building fire alarm system registers has a Poisson distribution with a mean of 6 false alarms per year. The variance of the number of false alarms is what?

  • Four Poisson Distribution Problems

    Then X follows Poisson distribution with parameter = 8.14 Thus the number of sales in a half day follows Poisson distribution with parameter 8.14. The solution discusses four Poisson distribution problems.

  • Stochastic Process, Random Variables, Discrete Random Variables, and Probability Distributions

    (d) Rolling a die numbered 1 – 6 and noting down the number that faces up. 7. (a) What are the parameters of a Poisson distribution? (b) What is the mean of a Poisson distribution? The standard deviation? (c) Is a Poisson ever symmetric?

  • Variance and Poisson Distributions

    122063 Variance and Poisson Distributions Let X1,...,Xn be a random sample from a Poisson distribution with mean ө. Express the Varө (Xi) as a function σ2 = g(ө). Please see the attached file for the complete solution.

View More Related Solutions