Table 4.1 shows the probability distribution of a discrete random variable X. Table 4.1 X 1 2 3 4 5 P(X=x) 0.175 0.175 0.315 0.315 0.211 0.092 0.207 By expressing your answer in four decimal places, (i) calculate the mean and variance of X, X +3 if Y find E(Y) and E(Y²). 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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Table 4.1 shows the probability distribution of a discrete random variable X.
Table 4.1
2
X
1
3
4
5
P(X=x) 0.175
0.175 0.315
0.315
0.211 0.092 0.207
By expressing your answer in four decimal places,
(i)
calculate the mean and variance of X,
X +3
if Y =
find E(Y) and E(Y²).
2
Transcribed Image Text:Table 4.1 shows the probability distribution of a discrete random variable X. Table 4.1 2 X 1 3 4 5 P(X=x) 0.175 0.175 0.315 0.315 0.211 0.092 0.207 By expressing your answer in four decimal places, (i) calculate the mean and variance of X, X +3 if Y = find E(Y) and E(Y²). 2
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