A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds there. It is found that if a birdwatcher arrives at the path adjoining the reed beds, the probability that he or she is still waiting there to see the bird a time y later, where y is measured in minutes, is 1-y + y ≥ 0. 3 Find the probability that a birdwatcher spends between 2 and 4 minutes waiting to see the bird, and the mean and variance of the time that he or she waits there.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A nature reserve has one bird of an uncommon species which frequents the large expanse of
reed beds there. It is found that if a birdwatcher arrives at the path adjoining the reed beds,
the probability that he or she is still waiting there to see the bird a time y later, where y is
measured in minutes, is
·c ²²³ + 2
y c , y ≥0.
3
Find the probability that a birdwatcher spends between 2 and 4 minutes waiting to see the bird,
and the mean and variance of the time that he or she waits there.
Transcribed Image Text:A nature reserve has one bird of an uncommon species which frequents the large expanse of reed beds there. It is found that if a birdwatcher arrives at the path adjoining the reed beds, the probability that he or she is still waiting there to see the bird a time y later, where y is measured in minutes, is ·c ²²³ + 2 y c , y ≥0. 3 Find the probability that a birdwatcher spends between 2 and 4 minutes waiting to see the bird, and the mean and variance of the time that he or she waits there.
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