Proposition 2 x) = { x ²- P(x) = µ D V(X) = - ² · p(x) − µ² = E(X²) – [E(X)]² Example 11 (Example 6 continued) Compute V(X) by using the formula in Proposition 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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Proposition 2
V(X) = x². p(x) - H² =
*P(x)] − µ‚² = E(X²) – [E(X)]²³
-
D
Example 11 (Example 6 continued)
Compute V(X) by using the formula in Proposition 2.
Transcribed Image Text:Proposition 2 V(X) = x². p(x) - H² = *P(x)] − µ‚² = E(X²) – [E(X)]²³ - D Example 11 (Example 6 continued) Compute V(X) by using the formula in Proposition 2.
Example 6
Find the mean of the discrete random variable X whose probability
distribution is
X
1
p(x) .30
2 3
.25 .15 .05 .10
4 5 6
.15
Transcribed Image Text:Example 6 Find the mean of the discrete random variable X whose probability distribution is X 1 p(x) .30 2 3 .25 .15 .05 .10 4 5 6 .15
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