The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 9 minutes. (a) Find the probability that the time interval between two successive barges is less than 4 minutes. (b) Find a time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The time intervals between successive barges
passing a certain point on a busy waterway have
an
exponential distribution with mean 9 minutes.
(a) Find the probability that the time interval
between two successive barges is less than 4
minutes.
(b) Find a time interval t such that we can be
95% sure that the time interval between two
successive barges will be greater than t.
Transcribed Image Text:The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 9 minutes. (a) Find the probability that the time interval between two successive barges is less than 4 minutes. (b) Find a time interval t such that we can be 95% sure that the time interval between two successive barges will be greater than t.
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