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) = 0.03 e -0.03t, ost< o. Find the probability that a rat will learn its way through a maze in 180 sec or less.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 22E
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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) = 0.03 e
- 0.03t
3t, 0 st<o. Find the probability that a rat will learn its way through a maze in 180 sec or less.
......
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) = 0.03 e - 0.03t 3t, 0 st<o. Find the probability that a rat will learn its way through a maze in 180 sec or less. ...... The probability is. (Round to six decimal places as needed.)
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