Time t, in seconds, that it takes to a rat to learn the way through a maze is an exponentially distributed random variable with a probability density function of the form f(t): ke-0.0202t where 0

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Time t, in seconds, that it takes to a rat to learn the way
through a maze is an exponentially distributed random
variable with a probability density function of the form
f(t) = ke-0.0202t
where 0<t < o,
(a) Find k such that f(t) function is a probability density
function.
(b) Find the probability that a rat will learn the way
through in 130 sec or less.
(c) Find the probability that a rat will learn the way
through in 30 sec or more.
Transcribed Image Text:Time t, in seconds, that it takes to a rat to learn the way through a maze is an exponentially distributed random variable with a probability density function of the form f(t) = ke-0.0202t where 0<t < o, (a) Find k such that f(t) function is a probability density function. (b) Find the probability that a rat will learn the way through in 130 sec or less. (c) Find the probability that a rat will learn the way through in 30 sec or more.
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