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) = 0.04 e -0.04t, 0st< o. Find the probability that a rat will learn its way through a maze in 100 sec or less. The probability is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 38E
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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) = 0.04 e
Find the probability that a rat will learn its way through a maze in 100 sec or less.
Ost<oo.
The probability is.
(Round to six decimal places as needed.)
Transcribed Image Text:- 0.04t 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) = 0.04 e Find the probability that a rat will learn its way through a maze in 100 sec or less. Ost<oo. The probability is. (Round to six decimal places as needed.)
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