Log in
Statistics
2
answers
0
watching
127
views

If X and Y are independent random variables with variances and  , find the variance of the random variable Z=−2X+4Y−3.

Watch
2
answers
0
watching
127
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share
Karol A.
Karol A.Lv10
31 Mar 2021
Already have an account? Log in
Share

Related textbook solutions

Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

Related questions

Given independent random variables X and Y with E ( X )=80, σX=10 and E (Y)=85, σY =12 respectively, find the mean and variance of each of the following random variables.

a. W=4X-2Y

b. {X1 ,..., X 100} and {Y1, ...,Y 100} are independent draws from X and Y distributions.

W=y bar -x̅ 

 

c. {X1,..., X10} are independent draws from X distributions.

W =X1+,...,+X10

 

d. W=10X

Consider two independent random variables X1 ∼ U(0, 7), X2 ∼ U(0, 1). For the random variables Y = X1 + X2:

• What is the support of the distribution? Is the distribution continuous, discrete or mixed?

• Draw the probability distribution function of the random variable? Justify your answer with either theoretically or logically.

Let X and Y be continuous random variables with joint density function.

 

(a) Find the marginal densities of X and Y.

(b). Are X and Y independent?

(c). Find P (X< 1/2, Y <1)

 

 

Weekly leaderboard

Home
Homework Help 3,900,000
Statistics 10,000
Start filling in the gaps now
Log in