![ka (3) [6 pts] X and Y are discrete random variables with the following joint distribution: 14 22 30 065 102 0.05 0.10 0.03 0.01 Value ofX 50.17 0.15 0.05 0.02 0.01 8 0.02 0.03 0.15 0.10 (a) Calculate the probability distribution, mean, and variance of Y (b) Calculate the prohability distribution, mea, and variane of Y given X (c) Calculate the covariance and correlation between X and Y 8](http://img.homeworklib.com/questions/0fe5fa40-7264-11ea-ba9f-05fb4384bff2.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
ka (3) [6 pts] X and Y are discrete random variables with the following joint distribution:...
Given the following joint distribution of two random variables X and Y (a) Compute marginal distribution...
Given the following joint distribution of two random variables X
and Y
(a) Compute marginal distribution PX(x)
(b) Compute marginal distribution PY(y)
(c) What is the conditional probability P(Y | X = 2)?
20.10 0.05 0.15 0.10 0.10 4 0.04 0.02 0.06 0.04 0.04 6 0.04 0.02 0.06 0.06 0.02 8 0.02 0.01 0.03 0 0.04
Problem 47.18 Let X and Y be discrete random variables with joint distribution defined by the...
Problem 47.18 Let X and Y be discrete random variables with joint distribution defined by the following table Y X 2 345 Py(y) 0.05 0.05 0.15 0.05 0.30 0.40 0 0.05 0.15 0.10 0 0.40 0.30 2 px(x 0.50 0.20 0.25 0.05 1 For this joint distribution, E(X) = 285, E(Y) = 1 . Calculate Coy(X,Y)
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...
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
Consider two discrete random variables X and Y with joint p.m.f given below . 0.200.15 -1...
Consider two discrete random variables X and Y with joint p.m.f given below . 0.200.15 -1 0 0.05 0.15 0.10 1 0.200.15 Find the joint p.m.f. of U-X Y and V X Yand enter it below Pulu,y) -1 0 -1 0 Chec
Please show how did you came up with the answer, show formulas and work. Also, please do Parts e to i. Thank you so much 1. Consider the following probability mass function for the discrete joint pro...
Please show how did you came up with the answer, show formulas
and work. Also, please do Parts e to i. Thank you so much
1. Consider the following probability mass function for the discrete joint probability distribution for random variables X and Y where the possible values for X are 0, 1, 2, and 3; and the possible values for Y are 0, 1, 2, 3, and 4. p(x,y) <0 3 0 4 0.01 0 0 0.10 0.05 0.15...
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.
2. Let X and X be two random variables with the following joint PMF Yix 2...
2. Let X and X be two random variables with the following joint PMF Yix 2 0 2 0 0.1 0.05 0.05 0.15 0.1 0.05 0.1 0.05 0.05 0.05 4 0.05 0.05 0.02 0.1 0.03 total 0.2 0.2 0.12 0.3 0.18 total 0.45 0.3 0.25 1 1) Find E[X] and E[Y]. (10 points) 2) What is the covariance of X and Y? (20 points) 3) Are X and Y independent? Explain. (10 points)
The table below gives the joint probability mass function of a pair of discrete random variables...
The table below gives the joint probability mass function of a pair of discrete random variables X and Y. Pxr(x,y) 12 3 P) 10.30 0.05 0.15 2 0.10 0.05 0.35 px(x) Complete the marginal distributions in the table above. . Are X and Y independent? Yes Check
9. Let X and Y be Bernouilli random variables with joint distribution: Pr(X = 1 and...
9. Let X and Y be Bernouilli random variables with joint distribution: Pr(X = 1 and Y = 1) = 0.42, Pr(X = 1 and Y = 0) = 0.18, Pr(X = 0 and Y = 1) = 0.28, Pr(X = 0 and Y = 0) = 0.12 Determine whether or not X and Y are independent. Determine the covariance and correlation for X and Y. Can you infer anything from this correlation?
Given the following joint distribution of two random variables X
and Y
(a) Compute marginal distribution PX(x)
(b) Compute marginal distribution PY(y)
(c) What is the conditional probability P(Y | X = 2)?
20.10 0.05 0.15 0.10 0.10 4 0.04 0.02 0.06 0.04 0.04 6 0.04 0.02 0.06 0.06 0.02 8 0.02 0.01 0.03 0 0.04
Problem 47.18 Let X and Y be discrete random variables with joint distribution defined by the following table Y X 2 345 Py(y) 0.05 0.05 0.15 0.05 0.30 0.40 0 0.05 0.15 0.10 0 0.40 0.30 2 px(x 0.50 0.20 0.25 0.05 1 For this joint distribution, E(X) = 285, E(Y) = 1 . Calculate Coy(X,Y)
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...
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
Consider two discrete random variables X and Y with joint p.m.f given below . 0.200.15 -1 0 0.05 0.15 0.10 1 0.200.15 Find the joint p.m.f. of U-X Y and V X Yand enter it below Pulu,y) -1 0 -1 0 Chec
Please show how did you came up with the answer, show formulas
and work. Also, please do Parts e to i. Thank you so much
1. Consider the following probability mass function for the discrete joint probability distribution for random variables X and Y where the possible values for X are 0, 1, 2, and 3; and the possible values for Y are 0, 1, 2, 3, and 4. p(x,y) <0 3 0 4 0.01 0 0 0.10 0.05 0.15...
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.
2. Let X and X be two random variables with the following joint PMF Yix 2 0 2 0 0.1 0.05 0.05 0.15 0.1 0.05 0.1 0.05 0.05 0.05 4 0.05 0.05 0.02 0.1 0.03 total 0.2 0.2 0.12 0.3 0.18 total 0.45 0.3 0.25 1 1) Find E[X] and E[Y]. (10 points) 2) What is the covariance of X and Y? (20 points) 3) Are X and Y independent? Explain. (10 points)
The table below gives the joint probability mass function of a pair of discrete random variables X and Y. Pxr(x,y) 12 3 P) 10.30 0.05 0.15 2 0.10 0.05 0.35 px(x) Complete the marginal distributions in the table above. . Are X and Y independent? Yes Check
9. Let X and Y be Bernouilli random variables with joint distribution: Pr(X = 1 and Y = 1) = 0.42, Pr(X = 1 and Y = 0) = 0.18, Pr(X = 0 and Y = 1) = 0.28, Pr(X = 0 and Y = 0) = 0.12 Determine whether or not X and Y are independent. Determine the covariance and correlation for X and Y. Can you infer anything from this correlation?
Most questions answered within 3 hours.
-
Suppose, for any future year, the probability its October rain
is more than 3 inches is...
asked 51 seconds ago -
Solve the following systems of linear equations using
substitution 12p + 3q = 15 6q +...
asked 8 minutes ago -
Prof. D went grocery shopping and purchased one dozen eggs and
one pound of flour (all...
asked 15 minutes ago -
If
somehow loop of Henle were removed - that is if the proximal tubule
was connected...
asked 15 minutes ago -
Add 1ml of 0.18M of HCl (aq) to 1ml of 0.2M of [Ag(NH3)2]Br
(aq).
Write the...
asked 22 minutes ago -
1. Smoke detectors use Am-241, an alpha emitter, to detect smoke
particles. A parent is concerned...
asked 27 minutes ago -
Scenario: Web application developed to capture customers
demographic and financial information for filling their taxes. This...
asked 30 minutes ago -
Which of the following statements are true?
1. Glass is mostly silicon dioxide and so when...
asked 52 minutes ago -
Korman Company has the following securities in its portfolio of
equity securities on December 31, 2018:...
asked 53 minutes ago -
Using the 12th edition of Language Awareness,
complete the following assignment:
After reading Akiba Solomon's "Thugs....
asked 1 hour ago -
For all problems assume an effective monthly interest rate of 1%
unless otherwise indicated in the...
asked 1 hour ago -
Fix all syntax and logical errors for the following program.
Please generate the correct output. //...
asked 1 hour ago