uniformly distributed on [0, 16] 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 wer includes only Monday through Friday.) [Hint: Define rv's x,, , X10 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 (Use morning time - evening time. Round the variance to two decimal places.) expected value min variance min2 (d) What are the expected value and variance of the difference between total morning waiting time and total evening v time for a particular week? (Use morning time - evening time. Assume a week includes only Monday through Frida expected value min
uniformly distributed on [0, 16] 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 wer includes only Monday through Friday.) [Hint: Define rv's x,, , X10 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 (Use morning time - evening time. Round the variance to two decimal places.) expected value min variance min2 (d) What are the expected value and variance of the difference between total morning waiting time and total evening v time for a particular week? (Use morning time - evening time. Assume a week includes only Monday through Frida expected value min
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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, 16] 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,, ..., X10 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.)
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
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
min?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe815d996-ac78-4584-a71e-4284151c4e48%2Fbdd2ef0a-b57d-4007-a183-50e3e7595cfb%2Fq8trstk_processed.jpeg&w=3840&q=75)
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, 16] 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,, ..., X10 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.)
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
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
min?
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