Question: Please help me Problem 3. In class, we proved that for a random variable X and any constant a, Var(a + X) = a +

Please help me

Problem 3. In class, we proved that for a random variable X and any constant a, Var(a + X) = a + Var(X). Now prove that for any constant b, we have Var(bX) = b'Var(X)

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Please help me solve this question with detailed explanation Consider a Gaussian random variable X, i.e., X ollows a normal distribution with mean it and variance 0': X ~.N'(p,a"). (5) There is a...

Please help me answer the following using R studio. 1. Consider a random variable, X, with a mean of 5 and a standard deviation of 9 . a. Using R, find the probability that X is less than 3. b. Using...

Please see the problem in the attachment. Let X be a gamma random variable with parameter a and 3. The PDF of X is given by Ba fx (20 ) = Tax-e-3x x> 0 0 x 0 and B > 0, and T(a) = / ta-le tat is a...

Please help me Problem 3- SPOINTS TOTAL. For each of the densities provided that model the random variable X, determine the expected value, E [X] as well as the variance VAR[X] . 5 POINTS When fx(a:)...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

How do I review the attached articles? I want to have it review them to able to compare with what I have done so far. American Economic Association Corporate Income Taxes and the Cost of Capital: A...

Write an alternative definition that is tail-recursive (iterative) and makes use of accumulator variables. [10 marks] Explain why your alternative definition executes more efficiently. [3 marks] 1...

) Why is the mass of the earth important to maintain life as we know it? A) If the earth's mass were significantly different, we would be bombarded by cosmic rays that would strip away our...

I NEED HELP ASAP.BE SURE TO ANSWER 3.64. (a) Find the moment generating function of a random variable X having density function (b) Use the generating function of (a) to find the first four moments...

MUST BE CORRECT ANSWERS A small software company has the following simplified cashflow, funded by shareholders' equity of 20,000 and a bank overdraft of 5000: Invoiced money received 2 months after...

How do you calculate the H+ in the following solution: [OH-] = 3.44 x 10-1 - need the steps please?

The mean age of Senators in the 109th Congress was 60.35 years. A random sample of 40 senators from various state senates had an average age of 55.4 years, and the population standard deviation is...

Go to the company investor relations websites for Starbucks (investor.starbucks.com), Pfizer (www.pfizer.com/investors), and Salesforce (investor.salesforce.com) to find examples of strategic and...

Describe one of the reasons why patient scheduling systems might fail in meeting patient expectations. What circumstances might result in the failure youve identified? What are some of the potential...

1. To understand the prerequisites for personal communication mastery.

2. To understand different focus areas for personal communication mastery.

3. Im trying to point out what we need to do to make this happen