Question

If X ~ N (3, 2²) and Y ~ N(1, 2²) what is the distribution of...

 If X ~ N (3, 2²) and Y ~ N(1, 2²) what is the distribution of 2X-Y??

please show all the step.

Homework Answers

Answer #1

The question can be easily answered using the Additive Property of Normal Distribution.

The detailed steps to answer the question are as shown in the image below:-

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
what is the area between the curves y=x^3+x^2-1 and y=2x^2+2x-1
what is the area between the curves y=x^3+x^2-1 and y=2x^2+2x-1
evaluate the following integrals∫(x^3+2x+1)/(x^2+x-2) dx show all work and every step please
evaluate the following integrals∫(x^3+2x+1)/(x^2+x-2) dx show all work and every step please
(3)If H(x, y) = x^2 y^4 + x^4 y^2 + 3x^2 y^2 + 1, show that...
(3)If H(x, y) = x^2 y^4 + x^4 y^2 + 3x^2 y^2 + 1, show that H(x, y) ≥ 0 for all (x, y). Hint: find the minimum value of H. (4) Let f(x, y) = (y − x^2 ) (y − 2x^2 ). Show that the origin is a critical point for f which is a saddle point, even though on any line through the origin, f has a local minimum at (0, 0)
Let X ~ N (1, 2^2) and Y ~ N (2, 2^2). Suppose that X and...
Let X ~ N (1, 2^2) and Y ~ N (2, 2^2). Suppose that X and Y are independent. Let U = X + Y and V = X ̶Y. Show that U and V are independent normal random variables. Find the distribution of each of them.
y[n+2]-2y[n+1]-15y[n]=2x[n+2]+x[n+1]+6x[n]. if x[n]=4^n u[n] and y[0]=0,y[1]=2 Find Natural response Forced response Total response
y[n+2]-2y[n+1]-15y[n]=2x[n+2]+x[n+1]+6x[n]. if x[n]=4^n u[n] and y[0]=0,y[1]=2 Find Natural response Forced response Total response
For X and Y with the initial joint density of f(x,y)= (3/2)(2−2x−y), 0<x<1and0<y<2−2x, findP(Y <1|X=1/2).
For X and Y with the initial joint density of f(x,y)= (3/2)(2−2x−y), 0<x<1and0<y<2−2x, findP(Y <1|X=1/2).
use logarithmic differentiation 1. y = (sin(2x))^x 2. y =(3^x)/(1 + 3^x) 3. y= (x+1)^(tan(x))
use logarithmic differentiation 1. y = (sin(2x))^x 2. y =(3^x)/(1 + 3^x) 3. y= (x+1)^(tan(x))
Say that x^2 = y^2 mod n, but x != y mod n and x !=...
Say that x^2 = y^2 mod n, but x != y mod n and x != −y mod n. Show that 1 = gcd(x − y, n) implies that n divides x + y, and that this is not possible, Show that n is non-trivial
1) Completely simplify 2) Write the expression cot( in terms of x and y only 3)...
1) Completely simplify 2) Write the expression cot( in terms of x and y only 3) If csc x = 2 and x is in Q I, determine the exact values of sin x and cos x. 4) Use a sum to product formula to rewrite sin 2x – sin 5x as the product of two trig functions. Step by Step please 5) Use a product to sum formula to rewrite sin(2x) * sin(5x) as a sum of two trig...
The probability distribution of a couple of random variables (X, Y) is given by : X/Y...
The probability distribution of a couple of random variables (X, Y) is given by : X/Y 0 1 2 -1 a 2a a 0 0 a a 1 3a 0 a 1) Find "a" 2) Find the marginal distribution of X and Y 3) Are variables X and Y independent? 4) Calculate V(2X+3Y) and Cov(2X,5Y)