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.
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.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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