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5.15 The weekly repaik cost, X, for a certain machine has a probability density function given by 6x(1 - x), 0

5.15 The weekly repaik cost, X, for a certain machine has a probability density function given by 6x(1 - x), 0

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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DISImbononS 5.15 The weekly repaik cost, X, for a certain machine has a probability density function given by бх(1 — х), 0<x<1 done- f (x) = 0, otherwise 0.75° with measurements in $100s.' a Find the mean and variance of the distribution of repair costs. b Find an interval within which these weekly repair costs should lie at least 75% of the time using Tchebysheff's Theorem. Find an interval within which these weekly repair costs lie exactly 75% of the time with exactly half of those not lying in the interval above the upper limit and the other half below the lower limit. Compare this interval to the one obtained in part (b).
Transcribed Image Text:DISImbononS 5.15 The weekly repaik cost, X, for a certain machine has a probability density function given by бх(1 — х), 0<x<1 done- f (x) = 0, otherwise 0.75° with measurements in $100s.' a Find the mean and variance of the distribution of repair costs. b Find an interval within which these weekly repair costs should lie at least 75% of the time using Tchebysheff's Theorem. Find an interval within which these weekly repair costs lie exactly 75% of the time with exactly half of those not lying in the interval above the upper limit and the other half below the lower limit. Compare this interval to the one obtained in part (b).
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