Need help with this Intro to probability and statistics homework problem. Below the homework problem is the answers from the textbook. Make sure your handwriting is neat and readable. 4.3-1. Let X and Y have the joint pmfx +f(x, y) = 32x = 1,2, y = 1,2,3,4.(a) Display the joint pmf and the marginal pmfs on a graphlike Figure 4.3-1(a).(b) Find g(xly) and draw a figure like Figure 4.3-1(b).depicting the conditional pmfs for y= 1, 2, 3, and 4.(c) Find h(y|x) and draw a figure like Figure 4.3-1(c),depicting the conditional pmfs for x = 1 and 2.(d) Find P(1 ≤ y ≤ 3)X = 1), P(Y ≤ 2 X = 2), andP(X=21Y = 3).(e) Find E(Y|X= 1) and Var(Y|X = 1). 4.3-1 (a) fx(x) = (4x+10)/32, x = 1.2; fy(v) (3 +2y)/32, y = 1,2,3,4;(b) g(x y) = (x+y)/(3+2y), x= 1, 2, y = 1, 2, 3, 4;(c) h(y|x) = (x+y)/(4x+10), y = 1, 2, 3, 4, x= 1,2;(d) 9/14, 7/18, 5/9; (e) 20/7, 55/49.

Given Information: Let X and Y have the joint pmf fx, y=x+y32, x=1, 2 and y=1,2,3,4

4.3-1. Let X and Y have the joint pmf x + y 32 x = 1,2, y = 1,2,3,4. (a) Display the joint pmf and the marginal pmfs on a graph like Figure 4.3-1(a). f(x, y) = (b) Find g(x y) and draw a figure like Figure 4.3-1(b), depicting the conditional pmfs for y= 1, 2, 3, and 4. (e) Find h(y|x) and draw a figure like Figure 4.3-1(c), depicting the conditional pmfs for x = 1 and 2.

4.3-1. Let X and Y have the joint pmf x + y 32 x = 1,2, y = 1,2,3,4. (a) Display the joint pmf and the marginal pmfs on a graph like Figure 4.3-1(a). f(x, y) = (b) Find g(x y) and draw a figure like Figure 4.3-1(b), depicting the conditional pmfs for y= 1, 2, 3, and 4. (e) Find h(y|x) and draw a figure like Figure 4.3-1(c), depicting the conditional pmfs for x = 1 and 2.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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