The following table provides a probability distribution for the random variable x. x 2 a. Compute E(X). E(X)= b. Compute g2, the variance of (MF)) 0.3+0.4.703 4 6 = f(x) 0.3 c. Compute o, the standard deviation of x. 0.4 0.3 17.2-3.8²² = 2.76 6.33 8
The following table provides a probability distribution for the random variable x. x 2 a. Compute E(X). E(X)= b. Compute g2, the variance of (MF)) 0.3+0.4.703 4 6 = f(x) 0.3 c. Compute o, the standard deviation of x. 0.4 0.3 17.2-3.8²² = 2.76 6.33 8
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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Transcribed Image Text:The following table provides a probability distribution for the random variable x.
x f(x)
2
0.3
0.4
0.3
a. Compute E(X).
E(X)=
b. Compute ², the variance of
Ex-(FX)
4
0.3+0.4
6
+0.4 +0:²3 - 11/²0 = [6.33
217.2-3.82² =
c. Compute o, the standard deviation of x.
2.76
-8

Transcribed Image Text:Question 1. A small town has 1,000 residents. The residents in the town were asked
whether or not they favored building a new bridge across the river. You are given the
following information on the residents' responses, broken down by sex.
In Favor
Opposed
Total
Men Women Total
200 400
600
300
100
400
500 500
1,000
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