Question

If X and Y are discrete random variables with joint PMF P(X,Y )(x, y) = c(2x+y)(x!...

If X and Y are discrete random variables with joint PMF

P(X,Y )(x, y) = c(2x+y)(x! y!) for x = 0, 1, 2, … and y = 0, 1, 2, … and zero otherwise

a) Find the constant c.

b) Find the marginal PMFs of X and Y. Identify their distribution along with their parameters.

c) Are X and Y independent? Why/why not?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

thank you

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The random variables, X and Y , have the joint pmf f(x,y)=c(x+2y), x=1,2 y=1,2 and zero...
The random variables, X and Y , have the joint pmf f(x,y)=c(x+2y), x=1,2 y=1,2 and zero otherwise. 1. Find the constant, c, such that f(x,y) is a valid pmf. 2. Find the marginal distributions for X and Y . 3. Find the marginal means for both random variables. 4. Find the marginal variances for both random variables. 5. Find the correlation of X and Y . 6. Are the two variables independent? Justify.
Let X and Y be discrete random variables, their joint pmf is given as Px,y =...
Let X and Y be discrete random variables, their joint pmf is given as Px,y = ?(? + ? + 2)/(B + 2) for 0 ≤ X < 3, 0 ≤ Y < 3 Where B=2. a) Find the value of ? b) Find the marginal pmf of ? and ? c) Find conditional pmf of ? given ? = 2
Let X and Y be discrete random variables, their joint pmf is given as ?(x,y)= ?(?...
Let X and Y be discrete random variables, their joint pmf is given as ?(x,y)= ?(? + ? − 2)/(B + 1) for 1 < X ≤ 4, 1 < Y ≤ 4 Where B is the last digit of your registration number ( B=3) a) Find the value of ? b) Find the marginal pmf of ? and ? c) Find conditional pmf of ? given ? = 3
SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf...
SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf is given as Px,y = ?(? + ?)/(B + 1) for 0 < X ≤ 3, 0 < Y ≤ 3 (Where B=5) a) Find the value of ? b) Find the marginal pmf of ? and ? c) Find conditional pmf of ? given ? = 2
SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf...
SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf is given as Px,y = ?(? + ? + 1)/(B + 1) for 0 ≤ X < 3, 0 ≤ Y < 3 (Where B=7) a) Find the value of ? b) Find the marginal pmf of ? and ? c) Find conditional pmf of ? given ? = 1
SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf...
SOLUTION REQUIRED WITH COMPLETE STEPS Let X and Y be discrete random variables, their joint pmf is given as Px,y = ?(? + ? − 2)/(B + 1) for 1 < X ≤ 4, 1 < Y ≤ 4 (Where B=2) a) Find the value of ? b) Find the marginal pmf of ? and ? c) Find conditional pmf of ? given ? = 3
Let X, Y be two random variables with a joint pmf f(x,y)=(x+y)/12 x=1,2 and y=1,2 zero...
Let X, Y be two random variables with a joint pmf f(x,y)=(x+y)/12 x=1,2 and y=1,2 zero elsewhere a)Are X and Y discrete or continuous random variables? b)Construct and joint probability distribution table by writing these probabilities in a rectangular array, recording each marginal pmf in the "margins" c)Determine if X and Y are Independent variables d)Find P(X>Y) e)Compute E(X), E(Y), E(X^2) and E(XY) f)Compute var(X) g) Compute cov(X,Y)
Find the joint discrete random variable x and y,their joint probability mass function is given by...
Find the joint discrete random variable x and y,their joint probability mass function is given by Px,y(x,y)={k(x+y) x=-2,0,+2,y=-1,0,+1 0 Otherwise } 2.1 determine the value of constant k,such that this will be proper pmf? 2.2 find the marginal pmf’s,Px(x) and Py(y)? 2.3 obtain the expected values of random variables X and Y? 2.4 calculate the variances of X and Y?
Find the joint discrete random variable x and y,their joint probability mass function is given by...
Find the joint discrete random variable x and y,their joint probability mass function is given by Px,y(x,y)={k(x+y);x=-2,0,+2,y=-1,0,+1 K>0    0 Otherwise }    2.1 determine the value of constant k,such that this will be proper pmf? 2.2 find the marginal pmf’s,Px(x) and Py(y)? 2.3 obtain the expected values of random variables X and Y? 2.4 calculate the variances of X and Y? Hint:££Px,y(x,y)=1,Px(x)=£Px,y(x,y);Py(y)=£Px,y(. x,y);E[]=£xpx(x);
Consider two random variable X and Y with joint PMF given in the table below. Y...
Consider two random variable X and Y with joint PMF given in the table below. Y = 2 Y = 4 Y = 5 X = 1 k/3 k/6 k/6 X = 2 2k/3 k/3 k/2 X = 3 k k/2 k/3 a) Find the value of k so that this is a valid PMF. Show your work. b) Re-write the table with the joint probabilities using the value of k that you found in (a). c) Find the marginal...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT