The lifetime, T (in years) of an electrical item has reliability (survival) function G(t) = {(t + 1)-3,t 20 to. t< 0 (a) Find the probability that the electrical item has a lifetime less than two years. (b) Suppose you buy one of these items today. If it is working two years from today, what is the chance that it will still be working five years from today? (c) Calculate the MTTF of the electrical item. You may find the substitution u = t +1 useful in your calculations.

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
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The lifetime, T (in years) of an electrical item has reliability (survival) function
S(t + 1)-3,t >0
G(t) = t0,
lo,
t< 0
(a) Find the probability that the electrical item has a lifetime less than two years.
(b) Suppose you buy one of these items today. If it is working two years from
today, what is the chance that it will still be working five years from today?
(c) Calculate the MTTF of the electrical item. You may find the substitution
u = t +1 useful in your calculations.
Transcribed Image Text:The lifetime, T (in years) of an electrical item has reliability (survival) function S(t + 1)-3,t >0 G(t) = t0, lo, t< 0 (a) Find the probability that the electrical item has a lifetime less than two years. (b) Suppose you buy one of these items today. If it is working two years from today, what is the chance that it will still be working five years from today? (c) Calculate the MTTF of the electrical item. You may find the substitution u = t +1 useful in your calculations.
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