Estimating poisson statistics distribution

Assignment Help Basic Statistics
Reference no: EM13103369

A system is tested for 10,000 hours and experiences 2 failures. Its failure rate is believed to be Poisson distributed.

a. What is the probability of no failures in 5000 hours of operation of this system?

b. If two of these systems are operated 1500 hours each, what is the probability of no failures in the two systems?

c. If the desired probability of not having any failures in the two systems operating in part b is 0.03, what must the true mean failure rate of each system be to achieve this desired standard?

Reference no: EM13103369

Questions Cloud

Poisson approximation binomial proabability : Please use words to describe the solution, not just symbols. (basically, explain what is going on in addition to an answer) Use a math symbol editor where appropriate.
Explain mutual or a unilateral contract been formed : Atencio is restricted to his bed. He calls Mary a friend who lives across the street and offers to sell her his watch next week for $100
Interferes market system-limits earning power of individuals : Others insist that this interferes with free market system and limits earning power of individuals. Do you agree or disagree with limits on executive pay? Support the opinion with detailed examples.
Would registration with the sec be required for dakota : Would registration with the SEC be required for Dakota Gasworks securities? Explain why or explain why not?
Estimating poisson statistics distribution : A system is tested for 10,000 hours and experiences 2 failures. Its failure rate is believed to be Poisson distributed.
California lawsuit sought damages for alleged defamation : The California lawsuit sought damages for alleged defamation, invasion of privacy and intentional infliction of emotional distress.
Revenue of the largest businesses : Revenue of Large Businesses A researcher estimates that the average revenue of the largest businesses in the United States is greater than $24 billion.
Write a short memo to ralph sampson defining the analysis : Write a short memo to Ralph Sampson defining the analysis that the company should do before it makes this decision as well as any other considerations that would affect the decision
Express at least three types of audits : Express at least three types of audits. If you were a financial donor to a nonprofits organization, which type(s) of audits would you desire to assess and explain why?

Reviews

Write a Review

Basic Statistics Questions & Answers

  Probability of the events related to environment

The rest have no opinion. " Suppose that a a sample of 100 American adults is quizzed on the subject. What is the probability of the following events?

  Overall reliability of the system

A product is made up of two subsystems in parallel. Subsystem one consists of ten elements in series each with a failure rate of 1/100. The second subsystem consists of 5 elements in series each with a failure rate of 1/200. What is the overall re..

  Population mean equivalent

The upper limit of a 95% confidence interval for the population mean would equal:

  Compute the standard error of the mean

Compute the standard error of the mean O(funny o with line) line over x, for sample sizes of 50, 100, 15o, and 200. What can you say about the size of the standard error of the mean as the sample size is increased?

  Test for the variance of girls score

Carry out the test for the variance of girls score is not significantly less than the given data.

  Determining null and alternative hypotheses

As of 2012, the proportion of students who use a MacBook as their primary computer is 0.36. You believe that at your university the proportion is actually greater than 0.36. If you conduct a hypothesis test, what will the null and alternative hypo..

  Joint probability distribution function

Let X be the number of kings selected and Y the number of jacks selected. Find the joint probability distribution function.

  Hypotehsis testing for population mean

Calculate the z - scores for the three samples, compare the z score to the t-statistic, is the null hypothesis accepted or rejected?

  Concept of hypergeometric distribution

You should use the hypergeometric distribution because you are sampling a small population without replacement.you are sampling a large population without replacement. You are sampling a small population with replacement.

  Find an instance of a continuous random variable

For a binomial probability experiment, with n=150 and p=.2, it is appropriate to use the normal approximation to the binomial distribution.

  Random sample of people in a large population

People in a large population average 60 inches tall. You take a random sample and will be given a dollar for each person in your sample who is over 65 inches tall.

  Predict quarterly turnover by incorporating seasonal effects

By using this data and incorporating seasonal effects, predict quarterly turnover for 2010.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd