3.44 The time to failure of a solid-state power unit has a hazard function in the form of h(t) = 1.34 x 10-4,1/2 for t 2 0. a. Compute reliability at 50 h. b. Determine design life if a reliability of 0.99 is desired. c. Compute MTTE d. If the unit has operated for 50 h, what is the probability that the unit will operate for another 50h? e. What is the mean residual time to failure at t = 50 (hour)? Compare it with part (c) results.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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3.44 The time to failure of a solid-state power unit has a hazard function in the form of
h(t) = 1.34 x 10-4/2 for t 2 0.
a. Compute reliability at 50 h.
b. Determine design life if a reliability of 0.99 is desired.
c. Compute MTTË
d. If the unit has operated for 50 h, what is the probability that the unit will operate for
another 50 h?
e. What is the mean residual time to failure at i = 50 (hour)? Compare it with part (c)
results.
Transcribed Image Text:3.44 The time to failure of a solid-state power unit has a hazard function in the form of h(t) = 1.34 x 10-4/2 for t 2 0. a. Compute reliability at 50 h. b. Determine design life if a reliability of 0.99 is desired. c. Compute MTTË d. If the unit has operated for 50 h, what is the probability that the unit will operate for another 50 h? e. What is the mean residual time to failure at i = 50 (hour)? Compare it with part (c) results.
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