The time between successive arrivals of buses may be modelled by a distribution whose density function is f(x) = 20² (x+0)³' x > 0. * If I arrive at the bus stop just as one bus is leaving, what is the probability that I have to wait at least x minutes for the next one? * Suppose that I have already been waiting for c minutes, where c < x. Find the probability that I have to wait at least x minutes altogether.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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The time between successive arrivals of buses may be modelled by a distribution
whose density function is
*
*
f(x)
20²
(x+0) ³'
x > 0.
If I arrive at the bus stop just as one bus is leaving, what is the probability that
I have to wait at least x minutes for the next one?
Suppose that I have already been waiting for c minutes, where c < x. Find the
probability that I have to wait at least x minutes altogether.
Transcribed Image Text:The time between successive arrivals of buses may be modelled by a distribution whose density function is * * f(x) 20² (x+0) ³' x > 0. If I arrive at the bus stop just as one bus is leaving, what is the probability that I have to wait at least x minutes for the next one? Suppose that I have already been waiting for c minutes, where c < x. Find the probability that I have to wait at least x minutes altogether.
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