) 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,, .., x,n and use a rule of expected value.] min ) What is the variance of your total waiting time? (Round your answer to two decimal places.) min? :) 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 min variance min2 )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 min variance min?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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,, ..., x,g and use a rule of expected value.]
min
(b) What is the variance of your total waiting time? (Round your answer to two decimal places.)
| min2
(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
min
variance
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
min
variance
min2
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,, ..., x,g and use a rule of expected value.] min (b) What is the variance of your total waiting time? (Round your answer to two decimal places.) | min2 (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 min variance 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 min variance min2
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