(f) Find the conditional pmf of X given Z. Identify this conditional distribution as a distribution known in class, and give
the explicit parameters for the known distribution.
(g) Find the conditional expectation of X given Z.
Homework Answers
Add Answer to:
(f) Find the conditional pmf of X given Z. Identify this conditional distribution as a distributi...
Suppose that X and Y have joint pmf px yx,y) fxy-/39 for x 1,2 and y...
Suppose that X and Y have joint pmf px yx,y) fxy-/39 for x 1,2 and y 2,3 0elsewhere). a) Determine the marginal pmfs px(x) and py(y) b) Determine the conditional pmf of px(xly). c) Are X and Y independent? Give a clear determination using probability formulas.
you have two random variables, X and Y with joint distribution given by the following table:...
you have two random variables, X and Y with joint distribution given by the following table: Y=0 | .4 .2 4+.26. So, for example, the probability that Y 0, X - 0 is 4, and the probability that Y (a) Find the marginal distributions (pmfs) of X and Y, denoted f(x),f(r). (b) Find the conditional distribution (pmf) of Y give X, denoted f(Y|X). (c) Find the expected values of X and Y, E(X), E(Y). (d) Find the variances of X...
1. Suppose you have two random variables, X and Y with joint distribution given by the...
1. Suppose you have two random variables, X and Y with joint distribution given by the following tables So, for example, the probability that Y o,x - 0 is 4, and the probability that Y (a) Find the marginal distributions (pmfs) of X and Y, denoted f(x),J(Y). (b) Find the conditional distribution (pmf) of Y give X, denoted f(YX). (c) Find the expected values of X and Y, EX), E(Y). (d) Find the variances of X and Y, Var(X),Var(Y). (e)...
(20 points) Consider the following joint distribution of X and Y ㄨㄧㄚ 0 0.1 0.2 1 0.3 0.4 (a) Find the marginal distributions of X and Y. (i.e., Px(x) and Py()) (b) Find the conditional distributio...
(20 points) Consider the following joint distribution of X and Y ㄨㄧㄚ 0 0.1 0.2 1 0.3 0.4 (a) Find the marginal distributions of X and Y. (i.e., Px(x) and Py()) (b) Find the conditional distribution of X given Y-0. (i.e., Pxjy (xY-0)) (c) Compute EXIY-01 and Var(X)Y = 0). (d) Find the covariance between X and Y. (i.e., Cov(X, Y)) (e) Are X and Y independent? Justify your answer.
(20 points) Consider the following joint distribution of X and...
Please answer all the questions and with the given hint. Thanks 2. An ad hoc committee...
Please answer all the questions and with the given hint.
Thanks
2. An ad hoc committee of three is selected randomly from a pool of 10 students consisting of 3 seniors, 3 juniors, 2 sophomores and 2 freshmen students. Let X be the number of seniors and Y be the number of juniors selected. The joint pmf of (X,Y) is, (*)(3)(3-6-v. px,y(x,y) = \* -2-y!, for x = 0,1,2,3, and y = 0,1,2,3 such that I +y < 3 =...
Let Liz-1 eforthe conditional distribution f PrivenX)--Pr(z-2 I. Solve for the conditional distribution of Z given X-x....
Let Liz-1 eforthe conditional distribution f PrivenX)--Pr(z-2 I. Solve for the conditional distribution of Z given X-x. ll. If X -4 what is your best guess for the value of Z? Why? III. If our Null Hypothesis is that X~N(2,4), construct a test statistic for testing this hypothesis vs. the Alternative Hypothesis that X N(4,8). IV. How would you calculate the p-value if X--4? Would you reject the Null Hypothesis? Why?
Let Liz-1 eforthe conditional distribution f PrivenX)--Pr(z-2 I. Solve...
1. Show that X and Y are independent if and only if the conditional distribution of...
1. Show that X and Y are independent if and only if the conditional distribution of X given Y = y is the same as the marginal distribution of X for all y. When X and Y are independent show that E(X Y = y) = EX.
4. Let X denote the number eggs hatched out of Y eggs laid by a particular...
4. Let X denote the number eggs hatched out of Y eggs laid by a particular parasite. The joint pmf of (X, Y) is given by A(1-0) e ,for x 0, 1, 2,.., y , and y = 0,1,2, .,00 Px,y (x, y)= 1 -6 = 0, otherwise where A> 0 and 0< 0<1 are unknown constants. (a) Find the marginal pmfs of X and Y. Are X and Y independent? (b) Find the conditional pmf of X|Y = y...
Let X and Y be independent rv’s with pmf Pois(λ1) and Pois(λ2), respectively. (a) Find the...
Let X and Y be independent rv’s with pmf Pois(λ1) and Pois(λ2),
respectively.
(a) Find the distribution of Z = X + Y .
(b) Find the distribution of X|X + Y .
(c)If X∼Pois(λ1) and Y|X=x∼Bin(x,p). Find the distribution of
Y.
Let X and Y be independent rv's with pmf Pois(11) and Pois(12), respectively. (a) Find the distribution of Z= X+Y. (b) Find the distribution of X|X +Y. (c) If X ~ Pois(11) and Y|X = x ~ Bin(x,p)....
2. (30 pts) Let X and Y be independent rv's with pmf Pois(41) and Pois(12), respectively. (a) Find the distribution of...
2. (30 pts) Let X and Y be independent rv's with pmf Pois(41) and Pois(12), respectively. (a) Find the distribution of Z = X +Y. (b) Find the distribution of X X +Y. (c) If X ~ Pois(11) and Y|X = x ~ Bin(x,p). Find the distribution of Y.
Suppose that X and Y have joint pmf px yx,y) fxy-/39 for x 1,2 and y 2,3 0elsewhere). a) Determine the marginal pmfs px(x) and py(y) b) Determine the conditional pmf of px(xly). c) Are X and Y independent? Give a clear determination using probability formulas.
you have two random variables, X and Y with joint distribution given by the following table: Y=0 | .4 .2 4+.26. So, for example, the probability that Y 0, X - 0 is 4, and the probability that Y (a) Find the marginal distributions (pmfs) of X and Y, denoted f(x),f(r). (b) Find the conditional distribution (pmf) of Y give X, denoted f(Y|X). (c) Find the expected values of X and Y, E(X), E(Y). (d) Find the variances of X...
1. Suppose you have two random variables, X and Y with joint distribution given by the following tables So, for example, the probability that Y o,x - 0 is 4, and the probability that Y (a) Find the marginal distributions (pmfs) of X and Y, denoted f(x),J(Y). (b) Find the conditional distribution (pmf) of Y give X, denoted f(YX). (c) Find the expected values of X and Y, EX), E(Y). (d) Find the variances of X and Y, Var(X),Var(Y). (e)...
(20 points) Consider the following joint distribution of X and Y ㄨㄧㄚ 0 0.1 0.2 1 0.3 0.4 (a) Find the marginal distributions of X and Y. (i.e., Px(x) and Py()) (b) Find the conditional distribution of X given Y-0. (i.e., Pxjy (xY-0)) (c) Compute EXIY-01 and Var(X)Y = 0). (d) Find the covariance between X and Y. (i.e., Cov(X, Y)) (e) Are X and Y independent? Justify your answer.
(20 points) Consider the following joint distribution of X and...
Please answer all the questions and with the given hint.
Thanks
2. An ad hoc committee of three is selected randomly from a pool of 10 students consisting of 3 seniors, 3 juniors, 2 sophomores and 2 freshmen students. Let X be the number of seniors and Y be the number of juniors selected. The joint pmf of (X,Y) is, (*)(3)(3-6-v. px,y(x,y) = \* -2-y!, for x = 0,1,2,3, and y = 0,1,2,3 such that I +y < 3 =...
Let Liz-1 eforthe conditional distribution f PrivenX)--Pr(z-2 I. Solve for the conditional distribution of Z given X-x. ll. If X -4 what is your best guess for the value of Z? Why? III. If our Null Hypothesis is that X~N(2,4), construct a test statistic for testing this hypothesis vs. the Alternative Hypothesis that X N(4,8). IV. How would you calculate the p-value if X--4? Would you reject the Null Hypothesis? Why?
Let Liz-1 eforthe conditional distribution f PrivenX)--Pr(z-2 I. Solve...
1. Show that X and Y are independent if and only if the conditional distribution of X given Y = y is the same as the marginal distribution of X for all y. When X and Y are independent show that E(X Y = y) = EX.
4. Let X denote the number eggs hatched out of Y eggs laid by a particular parasite. The joint pmf of (X, Y) is given by A(1-0) e ,for x 0, 1, 2,.., y , and y = 0,1,2, .,00 Px,y (x, y)= 1 -6 = 0, otherwise where A> 0 and 0< 0<1 are unknown constants. (a) Find the marginal pmfs of X and Y. Are X and Y independent? (b) Find the conditional pmf of X|Y = y...
Let X and Y be independent rv’s with pmf Pois(λ1) and Pois(λ2),
respectively.
(a) Find the distribution of Z = X + Y .
(b) Find the distribution of X|X + Y .
(c)If X∼Pois(λ1) and Y|X=x∼Bin(x,p). Find the distribution of
Y.
Let X and Y be independent rv's with pmf Pois(11) and Pois(12), respectively. (a) Find the distribution of Z= X+Y. (b) Find the distribution of X|X +Y. (c) If X ~ Pois(11) and Y|X = x ~ Bin(x,p)....
2. (30 pts) Let X and Y be independent rv's with pmf Pois(41) and Pois(12), respectively. (a) Find the distribution of Z = X +Y. (b) Find the distribution of X X +Y. (c) If X ~ Pois(11) and Y|X = x ~ Bin(x,p). Find the distribution of Y.
Most questions answered within 3 hours.
-
Two concentric current loops lie in the same plane. The smaller
loop has a radius of...
asked 18 minutes ago -
1)Which of the following is an
important difference between qualified and nonqualified retirement
plans?
a. Qualified...
asked 30 minutes ago -
What's the streaming business's problem on the
horizon?
asked 1 hour ago -
I need help with writing the conclusion for this online lab
report
Abstract
By testing the...
asked 1 hour ago -
For the reaction 1N2+3H2-----> 2NH3, would the reaction rate
trend be: delta[NH3]/ delta t = -2...
asked 2 hours ago -
Within your current/past organization, identify a problem/issue
and format a design to address same. You may...
asked 1 hour ago -
A sock stuck to the side of a clothes-dryer barrel has a
centripetal acceleration of 24...
asked 3 hours ago -
A perfect gas undergoes an isentropic process such that its
volume doubles. If the ratio of...
asked 3 hours ago -
list the elements in groups 3A to 6A in the same order as in the
periodic...
asked 3 hours ago -
Estimating effect size. Peng and Chen (2014)
evaluated effect size estimates for various tests. In their...
asked 3 hours ago -
Write a script in MySQL that creates and calls a stored
procedure name test. This procedure...
asked 3 hours ago -
If we test the following: H0: μ = 17
vs. H1: μ ≠ 17 and the...
asked 3 hours ago