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.]65min(b) What is the variance of your total waiting time? (Round your answer to two decimal places.)141.65X 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|-1minvariance28.33min?(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|-5minvariance141.65min?

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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, 10], 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 X1, , 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 day? (Use morning time − evening time. Round the variance to two decimal places.) expected value minvariance min2 (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…
Suppose your waiting time for a bus in the morning is uniformly distributed on [0, 10], whereas waiting time in the evening is uniformly distributed on [0, 12] 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 X1,... , X10 and use a rule of expected value.] Total Time= min (b) What is the variance of your total waiting time? (Round your answer to two decimal places.) Variance of Wait Time= 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= min2 (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 −…
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.)…
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Suppose X~ Binom(6, p) and define an estimator T ==to estimate p. Then, variance 6. of T is, p(1–p) a) Var (T)= 6. b) Var (T) = 6 p(1 – p) c) Var (T)~ p(1-p) d) Var (T) - 36р

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