Find the marginal probability density function

Assignment Help Basic Statistics
Reference no: EM13124055

There are two fuses in an electrical device. Let X denote the life time of the first fuse and Y denote the life time of the second fuse (both in years). Assume that the joint probability density function of X and Y is given by

i) Find
ii) Find the probability that both fuses last at least 3 years.
iii) Find the marginal probability density function of X.
iv) Find the marginal probability density function of Y.

Reference no: EM13124055

Questions Cloud

Are there any associated implications for the profession : Many people believe that an auditor cannot be truly independent when the client pays the audit fees. Can you think of any possible solutions or approaches that might reduce this apparent lack of independence?
Investment in opteron corporation : It did not pay any dividends during the year. By what amount would Athlon's investment in Opteron Corporation increase for the year, if Athlon used the equity method.
What is the maximum work that could be be obtained : A tank of 10 m3 volume contains an ideal gas (CP=30 J/mol-K) at T=298 K and P=5 bar. If gas from the tank is allowed to flow through a reversible device and exhaust to the atmosphere at P=1 bar.
Compute teetotal amount of revenue collected with the tax : Calculate the new consumer and producer surpluses after thetas has been applied and compute teetotal amount of revenue collected with the tax, and the deadweight loss created by the tax
Find the marginal probability density function : Assume that the joint probability density function of X and Y is given by? Find the marginal probability density function of X.
What is the maximum write-off for these purchases for 2012 : Hazel purchased a new business asset (five-year asset) on September 30, 2012, at a cost of $100,000. On October 4, 2012, Hazel placed the asset in service. This was the only asset Hazel placed in service in 2012. The only election with respect to ..
Illustrate what is the cost to purchase a statement : Can you get a copy of the full text of a GASB statement from this site? If not, how would you obtain a copy of GASB statement no. 34? Illustrate what is the cost to purchase a statement?
Illustrate what is neptune net operating profit margin : Inc report revenues of $14,892,615, net operating profit after tax of $987,625, net operating assets of $6,124,587. The fiscal 2009 balance sheet reports net operating assets of $5,995,633. Illustrate what is Neptune’s 2010 net operating profit m..
Use poisson distribution to approximate probability : Use the Poisson distribution to approximate the probability that among 10,000 cars passing through this tunnel, at least one will have a flat tire.

Reviews

Write a Review

Basic Statistics Questions & Answers

  Confidence interval-students compare to national sample

A sample of 30 students are tested (sample mean=58, standard error=3.2). Compute a 99 percent confidence interval based on this sample's data. How do these students compare to the national sample?

  Compute test stastic for testing significance of model

In the regression analysis involving 25 observations following estimated regresion equation was developed. hat(Y) = 10 - 18x1+3x2+14x3 also follwoing standard errors. Test stastic for testing significance of model is?

  Probability that half or more of claims have been padded

Your office has just received 128 insurance claims to be processed in the next few days. What is the probability that half or more of the claims have been padded?

  Regression equation and percentage of variance

Find the regression equation and percentage of variance and test whether the equation is significant portion of the variance.

  Continous numerical varaible

Critically discuss why the dowload is a continous numerical varaible and critically discuss why the download time is a ratio scaled variable.

  Hypothesis proposed by the researchers

The 'interaction effect' was also important. By using the means in the table above write a statement explaining how the anti-anxiety drug appears to affect anxiety. Are the outcomes consistent with the hypothesis proposed by the researchers?

  Chi square for goodness of fit

Consider a large population of families with three children each. If the genders of children in any family are independent of one another, the number of male children in any family will have a binomial distribution based on three trials.

  Statistical study of drug with p-value

A statistical study reported that a drug was effective with a p-value of .042. (a) Is this true? An effective sample may be found about 42 times in 1000 samples.

  Determine the probability that none of the contracts

Determining probability values using the Binomial distribution.Use the Binomial distribution to determine the probability that four or more of the contracts are in breach of the tendering guidelines.

  Find the probability of winning ten or more prizes

The chance of winning a prize for each of the 15 plays is 50-50 if you bought 15 tickets, what is the chance of winning 10 or more prizes?

  Find value of the f statistic for testing for interaction

An experiment was carried out to assess the effects of four tomato varieties and four planting densities on yield. There were 64 plots, and each of the 16 factor combinations was randomly assigned to 4 plots.

  Hypothesis-population mean and proportions

Discuss examples where you would use test of hypothesis at your personal or professional life, in your education or society for the following situations:

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