Maurice Tutor

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Expertise:
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Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 09 Jan 2018 My Price 7.00

freeway entrance

38.   Three different roads feed into a particular freeway entrance. Suppose that during a xed time period, the number of cars coming from each road onto the freeway is a random variable, with expected value and standard deviation as given in the table.

 

 

 

 

Road 1

Road 2

Road 3

Expected value

800

1000

600

Standard deviation

16

25

18

 

 

 

a.    What is the expected total number of cars enter- ing the freeway at this point during the period? (Hint: Let Xi = the number from road i.)

 

b.   What is the variance of the total number of en-

 

tering cars? Have you made any assumptions about the relationship between the numbers of cars on the different roads?

 

c.    With Xi denoting the number of cars entering from road i during the period, suppose that Cov(X1, X2) = 80, Cov(X1, X3) = 90, and Cov (X2, X3) = 100 (so that the three streams of traf c are not independent). Compute the expected to- tal number of entering cars and the standard deviation of the total.

 

 

 


Answers

Maurice Tutor
(5)
Status NEW Posted 09 Jan 2018 01:01 PM My Price 7.00

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