DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY DISTRIBUTION AND CHECK USING THE ALTERNATIVE FORMULA. 1. 0.20 3 0.30 4 P(X) 0.10 0.30 0.10 a. MEAN: u = E[xP(x)] b. VARIANCE: a? =[x P(x)] %3D c. STANDARD DEVIATION: = E[(x-1)² P(x)] d. ALTERNATIVE FORMULA: a? = E[x²P(x)] - ([xP(x)])? %3D
DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY DISTRIBUTION AND CHECK USING THE ALTERNATIVE FORMULA. 1. 0.20 3 0.30 4 P(X) 0.10 0.30 0.10 a. MEAN: u = E[xP(x)] b. VARIANCE: a? =[x P(x)] %3D c. STANDARD DEVIATION: = E[(x-1)² P(x)] d. ALTERNATIVE FORMULA: a? = E[x²P(x)] - ([xP(x)])? %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY
DISTRIBUTION AND CHECK USING THE ALTERNATIVE FORMULA.
1.
3.
0.30
4
0.30
P(x)
0.10
0.20
0.10
a. MEAN: 4 =
E[XP(x)]
b. VARIANCE: o? = * P(x)]
C. STANDARD DEVIATION: = EI(x-p)P(x)]
d. ALTERNATIVE FORMULA: o? = E(x*P(x)]- ([xP(x)])?
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4321aec1-2793-4559-8dc8-ca9b275df101%2Fb57d4305-9c43-4d05-a4e7-74e82744be3a%2F5qhanst_processed.jpeg&w=3840&q=75)
Transcribed Image Text:DETERMINE THE MEAN, VARIANCE, AND STANDARD DEVIATION OF THE FOLLOWING PROBABILITY
DISTRIBUTION AND CHECK USING THE ALTERNATIVE FORMULA.
1.
3.
0.30
4
0.30
P(x)
0.10
0.20
0.10
a. MEAN: 4 =
E[XP(x)]
b. VARIANCE: o? = * P(x)]
C. STANDARD DEVIATION: = EI(x-p)P(x)]
d. ALTERNATIVE FORMULA: o? = E(x*P(x)]- ([xP(x)])?
%3D
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