The probability is(Round to four decimal places as needed.) The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t)= kekt, 0≤t<∞o, where1aand a is the average amount of time that will pass before a failure occurs. Suppose that the average amount of time that will pass beforea failure occurs is 80 hr. What is the probability that a failure will occur in 58 hr or less?k=

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The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t)= kekt, 0≤t<∞o, where k= and a is 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 58 hr or less?

The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t)= kekt, 0≤t<∞o, where k= and a is 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 58 hr 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

Section13.3: Special Probability Density Functions

Problem 4E

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