Distribution of the number of failures

Assignment Help Basic Statistics
Reference no: EM131005822

A system has a random number of ?aws that we will suppose is Poisson distributed with mean c. Each of these ?aws will, independently, cause the system to fail at a random time having distribution G. When a system failure occurs, suppose that the ?aw causing the failure is immediately located and ?xed.

(a) What is the distribution of the number of failures by time t?

(b) What is the distribution of the number of ?aws that remain in the system at time t?

(c) Are the random variables in parts (a) and (b) dependent or independent?

Reference no: EM131005822

Questions Cloud

Determining the poisson process with rate : Policyholders of a certain insurance company have accidents at times distributed according to a Poisson process with rate λ. The amount of time from when the accident occurs until a claim is made has distribution G.
Number of customers in the system : 1. Consider an in?nite server queuing system in which customers arrive in accordance with a Poisson process with rate λ, and where the service distribution is exponential with rate μ. Let X(t) denote the number of customers in the system at time t. F..
Identify the overarching goal for your practicum project : Identify the overarching goal for your Practicum Project. Consider how you can achieve your Practicum Project goal through the development and fulfillment of objectives
Billion interest payments on the national debt : Suppose the sum of consumption, investment, and government spending is $620 billion, where investment includes involuntary inventory accumulation of $2 billion in addition to expenditure on plant and equipment, and government spending includes $5 bil..
Distribution of the number of failures : What is the distribution of the number of failures by time t? What is the distribution of the number of ?aws that remain in the system at time t? Are the random variables in parts (a) and (b) dependent or independent?
Advantage of monetary policy over fiscal policy : What is the major advantage of monetary policy over fiscal policy? 1. monetary policy can be undertaken more quickly 2. monetary policy is more effective
During an inflationary process : During an inflationary process, velocity is 1. higher because people hold fewer real money balances 2. lower because people hold fewer real money balances
What is the distribution of n : An event independently occurs on each day with probability p. Let N(n) denote the total number of events that occur on the ?rst n days, and let Tr denote the day on which the rth event occurs. (a) What is the distribution of N(n)?
Suppose that the central bank buys $6 billion : Suppose that the central bank buys $6 billion on the open market and the banks wish to hold reserves of 8 percent. What is the largest amount the money supply could ultimately increase?

Reviews

Write a Review

Basic Statistics Questions & Answers

  What is the probability that it will rain on any day

The weather in London can be summarised as: if it rains one day there's a 70% chance it will rain the following day; if it's sunny one day there's a 40% chance it will be sunny the following day. Assuming that the prior probability it rained yest..

  Sample size to estimate the population proportion

What sample size would be needed to estimate the true proportion of students at your college

  Determine the degree of freedom and find the critical value

Determine the degree of freedom, find the critical value, and identify the rejection region. Calculate the test statistic. If convenient, use the technology.

  Sampling distribution of sample means

Repeat this process 10 times or you can draw 10 samples simultaneously using StatTools. Make a histogram of the 10 values of sample means. You are constructing the sampling distribution of sample means. What is the center of your histogram?

  Upper and lower control limits for testing

The yield strength of a metal bolt has a mean of 6,050 pounds with a standard deviation of 100 pounds. Twenty samples of three bolts were tested, resulting in the means shown below.

  Determining probability that spin is going to be red

If 16 out of 20 spins just came up black, determine the probability that next spin is going to be red?

  What is the probability of generating a password with all

what is the probability of generating a password with all lowercase letters if a password consists of eight characters

  Find margin of error to find confidence level

The mean score on a quantitative literacy test was 310 with a standard deviation of 114. Find the margin of error for this estimate at a confidence level of 95%.

  Identify the probability of certain line

Identify the space of results of an observation of 2 consecutive minutes and identify the probability of certain line be free if in the last minute was free.

  Which of these variables are categorical and which are

consumer reports is doing an article comparing refrigerators in their next issue. some of the characteristics to be

  Hypothesis test in real world context

Describe in some detail how a hypothesis test could be used in some real world context such as business, politics, church, Girl Scouts, school, or perhaps your place of work.

  Find the value of the investment after two years

R2 000 is invested at 10% per annum compounded half-yearly. After three months, the interest rate changes to 12% per annum compounded monthly. Find the value of the investment after two years.

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