Purchase Solution

Poisson and exponential distributions

Not what you're looking for?

Ask Custom Question

Please see attached file for full problem description.

The maintenance department of a factory claims that the number of breakdowns of a particular machine follows a Poisson distribution with a mean of two breakdowns every 500hours. Let x denote the time (in hours) between successive breakdowns.

a. Find lambda and mu(x)

b. Write the formula for the exponential probability curve of x.

c. Sketch the probability curve.

d. Assuming that the maintenance department's claim is true, find the probability that the time between successive breakdowns is at most five hours.

e. Assuming that the maintenance department's claim is true, find the probability that the time between successive breakdowns is between 100 hours and 300 hours

f. Suppose that the machine breaks down five hours after its most recent breakdown. Based on the answer to part d, do you believe the maintenance departments claim?

Thank you for your help.

Attachments
Purchase this Solution

Solution Summary

This solution addresses the issues of number of breakdowns over a specified time period and the time between breakdowns using Poisson and exponential probability distributuions

Solution Preview

This solution addresses the issues of number of breakdowns ...

Purchase this Solution


Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.