In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a maze is an exponentially distributed random variable with the probability density function f(t) = 0.02 e -0.021 0st< 0o. Find the probability that a rat requires more than 110 sec to learn its way through the maze. The probability is (Round to six decimal places as needed.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 9E
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In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a maze is an exponentially distributed random variable with the probability density function f(t) = 0.02 e -0.02t, 0st<o.
Find the probability that a rat requires more than 110 sec to learn its way through the maze.
...
The probability is
(Round to six decimal places as needed.)
Transcribed Image Text:In a psychology experiment, the time t, in seconds, that it takes a rat to learn its way through a maze is an exponentially distributed random variable with the probability density function f(t) = 0.02 e -0.02t, 0st<o. Find the probability that a rat requires more than 110 sec to learn its way through the maze. ... The probability is (Round to six decimal places as needed.)
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