Question

2. The joint probabilities P(X = a, Y = b) of two discrete random variables X and Y are given in the following table: 4 1 2 1

0 0
Add a comment Improve this question Transcribed image text
Answer #1

solution: Horginal PME of P(x-1)= + VAJ PIX= 2) to the stv P(x= 3) + B + 12 PlX = 4). 13 + 8 + 12 + 1 -/4 Margind PHF of y PY

Add a comment
Know the answer?
Add Answer to:
2. The joint probabilities P(X = a, Y = b) of two discrete random variables X...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • 3. Let f(x,y) = xy-1 be the joint pmf/ pdf of two random variables X (discrete)...

    3. Let f(x,y) = xy-1 be the joint pmf/ pdf of two random variables X (discrete) and Y (continuous), for x = 1, 2, 3, 4 and 0 <y < 2. (a) Determine the marginal pmf of X. (b) Determine the marginal pdf of Y. (c) Compute P(X<2 and Y < 1). (d) Explain why X and Y are dependent without computing Cou(X,Y).

  • Ciule jolh! PMF and the marginal PMFs? 6.14 Let X and Y be discrete random variables. Show that t...

    ciule jolh! PMF and the marginal PMFs? 6.14 Let X and Y be discrete random variables. Show that the function p: R2 R defined by p(r, y) px(x)pr(y) is a joint PMF by verifying that it satisfies properties (a)-(c) of Proposition 6.1 on page 262. Hint: A subset of a countable set is countable CHAPTER SIX Joindy Discrete Random Variables 6.2 Joint and marginal PMFs of the discrete random variables x numher of bedrooms and momber of bwthrooms of a...

  • Two discrete random variables X and Y are jointly distributed.

    .1. Two discrete random variables X and Y are jointly distributed. The joint pmf is f(z, y) = 1/28 , SX = {0, 1, 2, 3, 4, 5,6}, and SY = {0, .... X), where Y is a non-negative integer a) Find the marginal pdfs of X and Y b) Caculate E(X) and E(Y). 2. Let the joint pdf of X aud Y be a) Draw the graph of the support of X and Y b) Determine c in the joint pdf. c) Find E(X +Y),...

  • 6 X and Y are two discrete random variables with the following PMF. IN IN IA....

    6 X and Y are two discrete random variables with the following PMF. IN IN IA. a. | Find the marginal pmf's for X and Y. b. Draw the joint CD c. Calculate the probability of the events: A-(X>0), B (xeY), and C-X Y for the 3 pt 3 pt. indicated PMF t. Are X, Y independent? Prove. 2 pt. t.

  • Consider the discrete random variables X and Y with the following joint p.m.f. Pxr(r,y) 1 0.03...

    Consider the discrete random variables X and Y with the following joint p.m.f. Pxr(r,y) 1 0.03 0.100.09 0.08 2 0.050.280.07 0.10 3 0.02 0.120.04 0.02 Find the marginal p.m.F. of X P1 4 Find the marginal p.m.f. of Y Find the conditional p.m.F. of X given Y 3 Find the conditional p.m.f. of X given Y 3. Pae) 2 3 4 . Find the conditional p.m.f. of Y given X 3 .1 . Find the following probabilities Check

  • Assume that X and Y are discrete random variables having the joint pmf given by the...

    Assume that X and Y are discrete random variables having the joint pmf given by the following chart                              Y                0            1             2        0     0.1         0.1          0.3 X    1     0.3         0.1          0.1                a. Find the probability that Y is greater than X. b. Find the covariance between X and Y.

  • 1. Consider a discrete bivariate random variable (X,Y) with the joint pmf given by the table:...

    1. Consider a discrete bivariate random variable (X,Y) with the joint pmf given by the table: Y X 1 2 4 1 0 0.1 0.05 2 0.2 0.05 0 4 0.1 0 0.05 8 0.3 0.15 0 Table 0.1: p(, y) a) Find marginal distributions of X and Y, p(x) and pay respectively. b) Find the covariance and the correlation between X and Y.

  • 1. Suppose X and Y are discrete random variables with joint probability mass function fxy defined...

    1. Suppose X and Y are discrete random variables with joint probability mass function fxy defined by the following table: 3 y fxy(x, y) 01 3/20 02 10 7/80 3/80 1/5 1/16 3/20 3/16 1/8 2 3 2 3 a Find the marginal probability mass function for X. b Find the marginal probability mass function for Y. c Find E(X), EY],V (X), and V (Y). d Find the covariance between X and Y. e Find the correlation between X and...

  • Question 4: Let X and Y be two discrete random variables with the following joint probability...

    Question 4: Let X and Y be two discrete random variables with the following joint probability distribution (mass) function Pxy(x, y): a) Complete the following probability table: Y 2 f(x)=P(X=x) 1 3 4 0 0 0.08 0.06 0.05 0.02 0.07 0.08 0.06 0.12 0.05 0.03 0.06 0.05 0.04 0.03 0.01 0.02 0.03 0.04 2 3 foy)=P(Y=y) 0.03 b) What is P(X s 2 and YS 3)? c) Find the marginal probability distribution (mass) function of X; [f(x)]. d) Find the...

  • Proposition 6.10 Independent Discrete Random Variables: Bivariate Case Let X andY be two discrete...

    Proposition 6.10 Independent Discrete Random Variables: Bivariate Case Let X andY be two discrete random variables defined on the same sample space. Then X and Y are independent if and only if pxy(x,y) = px(x)py(y), for all x , y ER. (6.19) In words, two discrete random variables are independent if and only if their joint equals the product of their marginal PMFs. Proposition 6.11 Independence and Conditional Distributions Discrete random variables X and Y are independent if and only...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT