Bogazici University Department of Industrial Engineering
Fall 07, Probability for IE, IE 255 PS#7
1)
Trains headed for destination A arrive at the train station at 15minute intervals
starting at 7 A.M., whereas trains headed for destination B arrive at 15minute
intervals starting at 7.05 A.M. If a passenger arrives at the station at a time uniformly
distributed between 7 and 8 A.M. and then gets on the first train that arrives, what
proportion of time does he/she go to destination A?
2)
A point is chosen at random on a line segment of length L. Interpret this statement
and find the probability that the ratio of the shorter to the longer segment is less
than 0.25.
3)
In a bank there are two clerks who serve customers with exponential rates μ
1
and μ
2
.
Güray comes to the bank and sees that both servers are busy. What is the probability
that Güray leaves the system last if:
a.
μ
1
= μ
2
b.
μ
1
=2 μ
2
4)
Güven just bought two newborn pets: a turtle and a snake. He knows that the life
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This homework help was uploaded on 04/19/2008 for the course IE 255 taught by Professor Aybekkorugan during the Fall '07 term at Boğaziçi University.
 Fall '07
 AybekKorugan
 Industrial Engineering

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