expected commute time

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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A commuter has 2 choices when driving home from work. Choice 1 takes 5
minutes. Choice 2 takes either 3 minutes or 6 minutes or 10 minutes depending on
the waiting time when making a left turn. The commuter knows that the probability
distribution for the waiting time to make the left turn is a discrete random variable X
(minutes) with values 0, 3, 7 and P(0) = .65, P(3) = .20 and P(7) = .15.
If the commuter uses the minmax strategy which way should he go?
If the commuter wants to minimize the expected commute time which way should
he go?
Transcribed Image Text:A commuter has 2 choices when driving home from work. Choice 1 takes 5 minutes. Choice 2 takes either 3 minutes or 6 minutes or 10 minutes depending on the waiting time when making a left turn. The commuter knows that the probability distribution for the waiting time to make the left turn is a discrete random variable X (minutes) with values 0, 3, 7 and P(0) = .65, P(3) = .20 and P(7) = .15. If the commuter uses the minmax strategy which way should he go? If the commuter wants to minimize the expected commute time which way should he go?
Expert Solution
Step 1

The commuter knows the Probability Distribution for the waiting time when making a left turn.

X Discrete Random Variable 

the probability given are P(0)=0.65, P(3)=0.20, P(3)=0.20, P(7)=0.15.

 

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