A manufacturing company produces many different products for wholesale distribution. Its flagship product, a reverse cylindrical dipolar tube, has a failure distribution given by the following PDF: 0.000192t² 0sts 25 years elsewhere f(t) = (a) Find R(15) and MTTF. (b) Find the probability that a failure will occur after the second year and by the end of the tenth year. (c) Find the median time to failure. (d) Construct the hazard rate function, At. Is it IFR, DRF, or CFR?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A manufacturing company produces many different
products for wholesale distribution. Its flagship product,
a reverse cylindrical dipolar tube, has a failure distribution
given by the following PDF:
f(t) = {0.000192t2 0sts 25 years
elsewhere
(a) Find R(15) and MTTF.
(b) Find the probability that a failure will occur after the
second year and by the end of the tenth year.
(c) Find the median time to failure.
(d) Construct the hazard rate function, At. Is it IFR, DRF,
or CFR?
Transcribed Image Text:A manufacturing company produces many different products for wholesale distribution. Its flagship product, a reverse cylindrical dipolar tube, has a failure distribution given by the following PDF: f(t) = {0.000192t2 0sts 25 years elsewhere (a) Find R(15) and MTTF. (b) Find the probability that a failure will occur after the second year and by the end of the tenth year. (c) Find the median time to failure. (d) Construct the hazard rate function, At. Is it IFR, DRF, or CFR?
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