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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