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Please answer all the questions and with the given hint.
Thanks
2. An ad hoc committee...
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]
QUESTION9 2 points Save Answer Determine how many different committees can be formed if 3 members...
QUESTION9 2 points Save Answer Determine how many different committees can be formed if 3 members must be teachers and 2 members must be students. TTI Path: P words:0 QUESTION 10 2points Save Answer A class committee is to be made that consists of 2 freshmen, 2 sophomores, 3 juniors, and 3 seniors. If students are being randomly chosen from groups of 12 freshmen, 17 sophomores, 16 juniors, and 20 seniors, how many possible committees can be formed? Words QUESTION...
(f) Find the conditional pmf of X given Z. Identify this conditional distribution as a distributi...
(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.
2. (Lec 13 &15 & 16 pairs of discrete R.V., conditional pmf and conditional moments, 17 pts) We are studying the flow of packets at a switch, which receives packets from two transmission paths, during a given period of time. Let X and...
I need help by solving this Problems 133 5.3 Let X and Y have the following...
I need help by solving this
Problems 133 5.3 Let X and Y have the following joint PMF 0.1 0.1 0.1 0.1 0 0.0 0.1 0.2 0.3 o-一ㄒㄧㄒㄧ丁 a. What are the marginal PMFs of X and Y? b. What are the conditional probabilities (computed directly) of X given Y and Y giw X (compute them directly)? c. What are the conditional probabilities of Y given X from the conditional probabilit of X given Y using Bayes theorem? Using the...
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)...
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...
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...
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...
Q: Assistance in understanding and solving this example from Probability and Statistical (Conditional Distributions) with the...
Q: Assistance in understanding and solving this example from
Probability and Statistical (Conditional Distributions) with the
steps of the solution to better understand, thanks.
**Please give the step by steps with details to
completely see how the solution came about.
1) Let X and Y have the joint pmf: f(x,y) =
(x+2y)/33, x = 1,2 y = 1,2,3.
a) Display the joint pmf and the marginal pmfs on a graph.
b) Find g(x
y) and draw a figure depicting the...
3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,...
3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,1,2, ..., k> 1 is an integer, 0 <P1 <1,0 <p2 <1, and p1 + P2 <1, find the marginal pmfs of X and Y and the conditional pmf of Y given X = r.
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]
QUESTION9 2 points Save Answer Determine how many different committees can be formed if 3 members must be teachers and 2 members must be students. TTI Path: P words:0 QUESTION 10 2points Save Answer A class committee is to be made that consists of 2 freshmen, 2 sophomores, 3 juniors, and 3 seniors. If students are being randomly chosen from groups of 12 freshmen, 17 sophomores, 16 juniors, and 20 seniors, how many possible committees can be formed? Words QUESTION...
(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.
2. (Lec 13 &15 & 16 pairs of discrete R.V., conditional pmf and conditional moments, 17 pts) We are studying the flow of packets at a switch, which receives packets from two transmission paths, during a given period of time. Let X and...
I need help by solving this
Problems 133 5.3 Let X and Y have the following joint PMF 0.1 0.1 0.1 0.1 0 0.0 0.1 0.2 0.3 o-一ㄒㄧㄒㄧ丁 a. What are the marginal PMFs of X and Y? b. What are the conditional probabilities (computed directly) of X given Y and Y giw X (compute them directly)? c. What are the conditional probabilities of Y given X from the conditional probabilit of X given Y using Bayes theorem? Using 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)...
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...
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...
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...
Q: Assistance in understanding and solving this example from
Probability and Statistical (Conditional Distributions) with the
steps of the solution to better understand, thanks.
**Please give the step by steps with details to
completely see how the solution came about.
1) Let X and Y have the joint pmf: f(x,y) =
(x+2y)/33, x = 1,2 y = 1,2,3.
a) Display the joint pmf and the marginal pmfs on a graph.
b) Find g(x
y) and draw a figure depicting the...
3. (a) Let (X,Y) have the joint pmf (2 + y + k – 1)! P(X = 1, Y = y) => pip (1- P1 - p2), r!y!(k − 1)! where r, y=0,1,2, ..., k> 1 is an integer, 0 <P1 <1,0 <p2 <1, and p1 + P2 <1, find the marginal pmfs of X and Y and the conditional pmf of Y given X = r.
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