1The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t) =ke -kt, 0st<∞, where k =and a is the average amount of time that will pass before a failureaoccurs. Suppose that the average amount of time that will pass before a failure occurs is 100 hr. What is the probability that a failure will occur in 49 hr or less?The probability is.(Round to four decimal places as needed.)

The probability density function is: f(t)=ke-kt, 0≤t<∞ where k=1a and a is the average amount of…

Answered: 1 The time to failure, t, in hours, of…

Calculus: Early Transcendentals

8th Edition

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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