Author Question: The time to failure t, in hours, of a certain machine can often be assumed to be exponentially ... (Read 78 times)

jman1234 · **on:** Jun 16, 2021

Question 1

The time of a telephone call (in minutes) to a certain town is a continuous random variable with a probability density function defined by

for

Find the probability:

◦ 0.000001
◦ 0.000316
◦ 0.000683
◦ 0.000074

Question 2

The time to failure t, in hours, of a certain machine can often be assumed to be exponentially distributed with probability density function f(t) = ke^-kt, 0 ≤ t < ∞, where k =

and a is the average amount of time that will pass before a failure occurs. Suppose the average amount of time that will pass before a failure occurs is 87 hours. What is the probability that a failure will occur in 43 hours or less?
◦ 0.4680
◦ 0.3120
◦ 0.3900
◦ 0.2925

lorealeza · **Reply #1 on:** Jun 16, 2021

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