1. The time to failure of an AC compressor is a random variable T, with the following pdf. 200 f(t) = (10 + 1)3 (a) Find R(t). (b) Determine the reliability for the first year of operation. (c) Find the probability of failure occurring in the interval of time (15,20]. (d) Find the design life if a religbility of 0.99 is desired.

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1. The time to failure of an AC compressor is a random variable T,
with the following pdf.
200
f(t) =
(10 + t)3
(a) Find R(t).
(b) Determine the reliability for the first year of operation.
(c) Find the probability of failure occurring in the interval of time
[15,20].
(d) Find the design life if a reliability of 0.99 is desired.
Transcribed Image Text:1. The time to failure of an AC compressor is a random variable T, with the following pdf. 200 f(t) = (10 + t)3 (a) Find R(t). (b) Determine the reliability for the first year of operation. (c) Find the probability of failure occurring in the interval of time [15,20]. (d) Find the design life if a reliability of 0.99 is desired.
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