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A system component has malfunctioned, and the delivery time, Y, of a new part is uniformly distribute on the interval of 0 to 3 days; i.e. it can arrive at anytime over the next three days. The system must shut down until the new part arrives. The cost incurred (in thousands of dollars) due to this interruption C = 5+ 2Y².

A system component has malfunctioned, and the delivery time, Y, of a new part is uniformly distribute on the interval of 0 to 3 days; i.e. it can arrive at anytime over the next three days. The system must shut down until the new part arrives. The cost incurred (in thousands of dollars) due to this interruption C = 5+ 2Y².

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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A system component has malfunctioned, and the delivery time, Y, of a new part is uniformly distributed on the interval of 0 to 3 days; i.e. it can arrive at anytime over the next three days. The system must be shut down until the new part arrives. The cost incurred (in thousands of dollars) due to this interruption is C = 5 + 2Y². a. Find the probability that the cost incurred due to the interruption is less than $13,000. (Hint: Think in terms of days or use P(g(Y) < c) = P(Y < g¬l(c)).) b. Find the expected value of C. c. Find the standard deviation of C.
Transcribed Image Text:A system component has malfunctioned, and the delivery time, Y, of a new part is uniformly distributed on the interval of 0 to 3 days; i.e. it can arrive at anytime over the next three days. The system must be shut down until the new part arrives. The cost incurred (in thousands of dollars) due to this interruption is C = 5 + 2Y². a. Find the probability that the cost incurred due to the interruption is less than $13,000. (Hint: Think in terms of days or use P(g(Y) < c) = P(Y < g¬l(c)).) b. Find the expected value of C. c. Find the standard deviation of C.
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