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1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t)=ke-kt, 0≤t<∞o, where k = — and a is 1 a the average amount of time that will pass before a failure occurs. Suppose that the average amount of time that will pass before a failure occurs is 80 hr. What is the probability that a failure will occur in 48 hr or less? The probability is (Round to four decimal places as needed.)

1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t)=ke-kt, 0≤t<∞o, where k = — and a is 1 a the average amount of time that will pass before a failure occurs. Suppose that the average amount of time that will pass before a failure occurs is 80 hr. What is the probability that a failure will occur in 48 hr or less? The probability is (Round to four decimal places as needed.)

A First Course in Probability (10th Edition)
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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1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t)=ke-kt, 0≤t<∞o, where k = — and a is 1 a the average amount of time that will pass before a failure occurs. Suppose that the average amount of time that will pass before a failure occurs is 80 hr. What is the probability that a failure will occur in 48 hr or less? The probability is (Round to four decimal places as needed.)
Transcribed Image Text:1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t)=ke-kt, 0≤t<∞o, where k = — and a is 1 a the average amount of time that will pass before a failure occurs. Suppose that the average amount of time that will pass before a failure occurs is 80 hr. What is the probability that a failure will occur in 48 hr or less? The probability is (Round to four decimal places as needed.)
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