(a) c (b) E[X] (c) E[X²]

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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Problem 3.3: The joint probability distribution of the discrete variables X
and Y is expressed in the table below. Find:
(a) c
(b) E[X]
(c) E[X²]
(d) E[Y]
(e) E[Y²]
(f) E[XY]
(g) E[X/Y]
(h) Var (X)
(i) Var(Y)
T
f(x,y) 1.5 2.1 2.7 3.3
0.46 0.088 0.031 0.073 0.021
0.86 0.057 0.066 0.085 0.022
1.26 0.084 0.065 0.096 0.030
1.66 0.036 0.073 C 0.089
(j) Cov(X, Y)
Transcribed Image Text:Problem 3.3: The joint probability distribution of the discrete variables X and Y is expressed in the table below. Find: (a) c (b) E[X] (c) E[X²] (d) E[Y] (e) E[Y²] (f) E[XY] (g) E[X/Y] (h) Var (X) (i) Var(Y) T f(x,y) 1.5 2.1 2.7 3.3 0.46 0.088 0.031 0.073 0.021 0.86 0.057 0.066 0.085 0.022 1.26 0.084 0.065 0.096 0.030 1.66 0.036 0.073 C 0.089 (j) Cov(X, Y)
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