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3. The amount of CPU time (measured in hours) an trading firm uses per week is a random variable H with the following pdf: Såk²(4 – h); 0sh < 4 f(h) 10; otherwise (a) Find the expected value and standard deviation of weekly CPU time. (b) The CPU time costs the firm $200 per hour. Find the expected value and standard deviation of the weekly cost for CPU time. (c) Would you expect the weekly cost to exceed $600 very often? Either calculate exact proba- bilities, or use Chebyshev's inequality (from HW5) to support your answer.

3. The amount of CPU time (measured in hours) an trading firm uses per week is a random variable H with the following pdf: Såk²(4 – h); 0sh < 4 f(h) 10; otherwise (a) Find the expected value and standard deviation of weekly CPU time. (b) The CPU time costs the firm $200 per hour. Find the expected value and standard deviation of the weekly cost for CPU time. (c) Would you expect the weekly cost to exceed $600 very often? Either calculate exact proba- bilities, or use Chebyshev's inequality (from HW5) to support your answer.

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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3. The amount of CPU time (measured in hours) an trading firm uses per week is a random variable H with the following pdf: S(h) = {ah?(4 – h); 0<h<4 0; otherwise (a) Find the expected value and standard deviation of weekly CPU time. (b) The CPU time costs the firm $200 per hour. Find the expected value and standard deviation of the weekly cost for CPU time. (c) Would you expect the weekly cost to exceed $600 very often? Either calculate exact proba- bilities, or use Chebyshev's inequality (from HW5) to support your answer.
Transcribed Image Text:3. The amount of CPU time (measured in hours) an trading firm uses per week is a random variable H with the following pdf: S(h) = {ah?(4 – h); 0<h<4 0; otherwise (a) Find the expected value and standard deviation of weekly CPU time. (b) The CPU time costs the firm $200 per hour. Find the expected value and standard deviation of the weekly cost for CPU time. (c) Would you expect the weekly cost to exceed $600 very often? Either calculate exact proba- bilities, or use Chebyshev's inequality (from HW5) to support your answer.
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