Under what conditions random variables are uncorrelated

Assignment Help Basic Statistics

Reference no: EM131215267

Suppose two random variables X and Y are both zero mean and unit variance. Furthermore, assume they have a correlation coefficient of P . Two new random variables are formed according to:

W = aX + bY,

Z = cX + dY.

Determine under what conditions on the constants a, b, c and d the random variables W and Z are uncorrelated.

Reference no: EM131215267

Questions Cloud

What annual contributions to the retirement fund will allow : What annual contributions to the retirement fund will allow you to receive the $17,000 annuity? Use Appendix C and Appendix D for an approximate answer, but calculate your final answer using the formula and financial calculator methods.

Prosecutor making about wearing duke sweatpants : The prosecutor concludes that the probability that a student is wearing both Duke sweatpants and a UNC sweatshirt is 2% (0.1*0.2 = 0.02), which is large enough to cause reasonable doubt for the jury, so they don't convict him. What assumption is t..

Explain differences between measurement and observation : Explain differences between the four levels of measurement: nominal, ordinal, interval, and ratio. Explain why it is important to know the level(s) of measurement for variables in a study.

Standard normal random variable : Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places.

Under what conditions random variables are uncorrelated : Suppose two random variables X and Y are both zero mean and unit variance.- Determine under what conditions on the constants a, b, c and d the random variables W and Z are uncorrelated.

Corresponds to a data set of test scores : Question 1: The Stem and Leaf output that corresponds to a data set of test scores (marked out of 1000) is as follows:

What solution are different governments trying to achieve : Describe the ways in which different levels of government interrelate. What solution are the different governments trying to achieve? Identify the advantages and disadvantages in the ways that the governments involved work together.

Proposal for an internet-intranet solution : You have been asked to present a proposal for an Internet/Intranet solution for a college. The college is especially interested in the promised efficiency gains to be found from new ways of working online, and the possibilities for cost savings (e.g...

Human population blood type : According to the American Red Cross, approximately 10% of the human population is blood type B-positive. If we select 20 people at random, find the probability that more than 3 people in the sample have blood type B-positive. Is this unusual?

User Account

All Pages