The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 8 minutes. (a) Find the probability that the time interval between two successive barges is less than 5 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.

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Q.5. The time intervals between successive barges passing a certain point on a busy waterway have an exponential distribution with mean 8 minutes.

(a) Find the probability that the time interval between two successive barges is less than 5 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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