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Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 12], whereas waiting time in the evening is uniformly distributed on [0, 14] independent of morning waiting time. (a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv's x,, ..., X40 and use a rule of expected value.] 65 V min (b) What is the variance of your total waiting time? (Round your answer to two decimal places.) 141.65 x min? (c) What are the expected value and variance of the difference between morning and evening waiting times on a given day? (Use morning time evening time. Round the variance to two decimal places.) expected value -1 V min variance 28.33 v min? (d) What are the expected value and variance of the difference between total morning waiting time and total evening waiting time for a particular week? (Use morning time - evening time. Assume a week includes only Monday through Friday.) expected value -5 v min variance 141.65 v min?

Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 12], whereas waiting time in the evening is uniformly distributed on [0, 14] independent of morning waiting time. (a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv's x,, ..., X40 and use a rule of expected value.] 65 V min (b) What is the variance of your total waiting time? (Round your answer to two decimal places.) 141.65 x min? (c) What are the expected value and variance of the difference between morning and evening waiting times on a given day? (Use morning time evening time. Round the variance to two decimal places.) expected value -1 V min variance 28.33 v min? (d) What are the expected value and variance of the difference between total morning waiting time and total evening waiting time for a particular week? (Use morning time - evening time. Assume a week includes only Monday through Friday.) expected value -5 v min variance 141.65 v min?

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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Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 12], whereas waiting time in the evening is uniformly distributed on [0, 14] independent of morning waiting time. (a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv's X,, ..., X40 and use a rule of expected value.] 65 min (b) What is the variance of your total waiting time? (Round your answer to two decimal places.) 141.65 X min? (c) What are the expected value and variance of the difference between morning and evening waiting times on a given day? (Use morning time - evening time. Round the variance to two decimal places.) expected value |-1 min variance 28.33 min? (d) What are the expected value and variance of the difference between total morning waiting time and total evening waiting time for a particular week? (Use morning time - evening time. Assume a week includes only Monday through Friday.) expected value |-5 min variance 141.65 min?
Transcribed Image Text:Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 12], whereas waiting time in the evening is uniformly distributed on [0, 14] independent of morning waiting time. (a) If you take the bus each morning and evening for a week, what is your total expected waiting time? (Assume a week includes only Monday through Friday.) [Hint: Define rv's X,, ..., X40 and use a rule of expected value.] 65 min (b) What is the variance of your total waiting time? (Round your answer to two decimal places.) 141.65 X min? (c) What are the expected value and variance of the difference between morning and evening waiting times on a given day? (Use morning time - evening time. Round the variance to two decimal places.) expected value |-1 min variance 28.33 min? (d) What are the expected value and variance of the difference between total morning waiting time and total evening waiting time for a particular week? (Use morning time - evening time. Assume a week includes only Monday through Friday.) expected value |-5 min variance 141.65 min?
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