Question

2. The joint pmf of X and Y is given below. f(x,y) 0 1 2 Y 0 1/10 3/100 1 3/10 2/10 1/10 a. Compute P(Y = 0|1 < X < 2). b. Co

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

solution joint pmf ot xay х flany) 2 o y 3 에의네으 13 To 1 a) P(=0/1<x<2) = P(4-0,15x52) PC] SX52) P(x=1, y =u) + P(X=2, Y = 0)

Add a comment
Know the answer?
Add Answer to:
2. The joint pmf of X and Y is given below. f(x,y) 0 1 2 Y...
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
  • 6. (20%) Consider two random variables X and Y with the joint PMF given in Table...

    6. (20%) Consider two random variables X and Y with the joint PMF given in Table 2. Table 2: Joint PMF of X and Y Y =0Y 1 X 0 X 1 0 (a) (5%) Find the PMF of X and PMF of Y. (b) (5%) Find EX, EY, Var(X), Var(Y (c) (10%)Find the MMSE estimator of X given Y, (M) for both Y 0 and Y 1

  • Q5. Suppose the joint pdf of X, Y is given by f(x, y) zy/3 if 0...

    Q5. Suppose the joint pdf of X, Y is given by f(x, y) zy/3 if 0 s S1 and 0 sy< 2 and f(x,y) elsewhere. a. Compute P(X+Y2 1). b. What is the probability that (X, Y) E A where A is the region bounded above by the parabola y 2 c. What is the probability that both X, Y exceeding 0.5? d. What is the probability X will take on values that are at least 0.2 units less than...

  • Suppose that X and Y are jointly continuous random variables with joint density f(x, y) =...

    Suppose that X and Y are jointly continuous random variables with joint density f(x, y) = ( ye−xy 0 < x < ∞, 1 < y < 2 0 otherwise (a) Given that X > 1, what is the expected value of Y ? That is, calculate E[Y | X > 1]. (b) Given that X > Y , what is the expected value of X? For this part, you are only required to set up the requisite integrals, but...

  • Define the joint pmf of (x, y) by f(0, 10) = f(0, 20) = 4 /...

    Define the joint pmf of (x, y) by f(0, 10) = f(0, 20) = 4 / 30, f(1, 10) = f(1, 30) = 1 / 30, f(1, 20) = 1 / 30, f(2, 30) = 197 30 Find the value of the folowing. Give your answer to three decimal places. a) E(Y | X = 0) = 15 b) E(Y | = 1) = 20 c) E(Y X = 2) = 30 d) E(Y) = 0

  • 3. Let (X, Y) be a bivariate random variable with joint pmf given by x= 1,2,3,...

    3. Let (X, Y) be a bivariate random variable with joint pmf given by x= 1,2,3, y = 0,1,2,3, ... ,00 f(x, y) 12 0 e.w. (a) Show that f(x, y) is a valid joint pmf. (b) Find fa(x) (i.e. the marginal pmf of X). (c) Find fy(y) (i.e. the marginal pmf of Y). (d) Find P [Y X]

  • 81. Consider the function g(x, y) given by, 1 1.52.53 11/4 0 0 0 2 0...

    81. Consider the function g(x, y) given by, 1 1.52.53 11/4 0 0 0 2 0 1/8 0 0 y 3 0 1/4 0 0 4 0 0 1/4 0 5 00 0 1/8 and complete / determine the following: (a) Show that g(x, y) satisfies the properties of a joint pmf. (See Table in ?6.0.1.) (b) P(X < 2.5,Y < 3) (c) P(X < 2.5) (d) P(Y < 3) (e) P(X> 1.8, Y> 4.7) (f) E[X], EY], Var(X), Var(Y)...

  • Px(x) = The marginal pmf of each of X, Y variables is given below: 1 ;...

    Px(x) = The marginal pmf of each of X, Y variables is given below: 1 ; x = -1,3 4 y + 1 2 PY) = ; y = 1,2 - ; x = 1 5 4 0; Otherwise 0; Otherwise (a) If X, Y are independent random variables, then obtain and report the complete joint pmf of X, Y. Provide your answer in a tabular or functional form. (b) Compute the probability that sum of X and Y is...

  • The following table presents the joint probability mass function pmf of variables X and Y 0...

    The following table presents the joint probability mass function pmf of variables X and Y 0 2 0.14 0.06 0.21 2 0.09 0.35 0.15 (a) Compute the probability that P(X +Y 3 2) (b) Compute the expected value of the function (X, Y)3 (c) Compute the marginal probability distributions of X and )Y (d) Compute the variances of X and Y (e) Compute the covariance and correlation of X and Y. (f) Are X and Y statistically independent? Clearly prove...

  • 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).

  • Problem 8.2 X Y Discrete random variables X, Y have joint pmf given in the table...

    Problem 8.2 X Y Discrete random variables X, Y have joint pmf given in the table to the right, where X takes values in {1,2,3,4} and Y takes values in {1,2,3). 2 3 1 2 3 0. 100.3 0 0.2 0.1 0 0.05 0.1 0 0.1 0.05 (e) Compute the MAP estimate of X given the observation Y = 2. Compute the posterior probabiity of error of this estimate, given that Y = 2. (f) Compute the MMSE estimate of...

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