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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 92E

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Question

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 pmf
x +
f(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).
(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), and
P(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.

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