1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t) = ke -Kt, 0st<00, wherek =- and a is the average amount of time that will pass before a failure a occurs. 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 dooim
1 The time to failure, t, in hours, of a machine is often exponentially distributed with a probability density function f(t) = ke -Kt, 0st<00, wherek =- and a is the average amount of time that will pass before a failure a occurs. 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 dooim
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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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) =ke -kt, 0st<∞, where k =
and a is the average amount of time that will pass before a failure
a
occurs. 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.)
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