3. The reliability function (7) of a system, where time is in units of hours, describes the time to failure random variable X, It is given that (t) = 1 (at + 1)² u(t) where is a positive constant, and (1) is the usual unit step function. a) Determine the value of the constant if is known that the MTTF is 100 hours. b) Determine the pdf fx (1) of the random variable X, c) Determine the conditional failure rate ẞ, (t) of the system and plot it as a function of time using the result of part a).

3. The reliability function (7) of a system, where time is in units of hours, describes the time to failure random variable X, It is given that (t) = 1 (at + 1)² u(t) where is a positive constant, and (1) is the usual unit step function. a) Determine the value of the constant if is known that the MTTF is 100 hours. b) Determine the pdf fx (1) of the random variable X, c) Determine the conditional failure rate ẞ, (t) of the system and plot it as a function of time using the result of part a).

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.

Chapter2: Exponential, Logarithmic, And Trigonometric Functions

Section2.CR: Chapter 2 Review

Problem 111CR: Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data...

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