Consider times at which a parent provisions nestlings, that is, the time be- tween arrivals of a parent carrying food for the nestlings. Suppose that the waiting time between arrivals of a parent bird follows the exponential density function f (t) = 0.6e-0,61 for t z 0 and f (t) = 0 for t < 0, where the waiting times are in minutes. (a) What is the mean waiting time? (b) Find the probability that the wait will be between 2 and 5 minutes. (c) Find the probability that the wait will be at least 3 minutes.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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Consider times at which a parent provisions nestlings, that is, the time be-
tween arrivals of a parent carrying food for the nestlings. Suppose that the
waiting time between arrivals of a parent bird follows the exponential density
function f (t) = 0.6e-0,61 for t z 0 and f (t) = 0 for t < 0, where the waiting
times are in minutes.
(a) What is the mean waiting time?
(b) Find the probability that the wait will be between 2 and 5 minutes.
(c) Find the probability that the wait will be at least 3 minutes.
Transcribed Image Text:Consider times at which a parent provisions nestlings, that is, the time be- tween arrivals of a parent carrying food for the nestlings. Suppose that the waiting time between arrivals of a parent bird follows the exponential density function f (t) = 0.6e-0,61 for t z 0 and f (t) = 0 for t < 0, where the waiting times are in minutes. (a) What is the mean waiting time? (b) Find the probability that the wait will be between 2 and 5 minutes. (c) Find the probability that the wait will be at least 3 minutes.
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