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An ABC Company manufactures gizmos for use on widgets

Marketing Dec 28, 2020

An ABC Company manufactures gizmos for use on widgets. The time to failure, in years, of these gizmos has the following:

Reliability function R(t) = 1(t+1)2R(t) = 1(t+1)2, t≥0t≥0

Is the failure rate DFR, CFR, or IFR?

Expert Solution

For one year, put 1 in place of t in the formula then solve;

R=1÷(t+1)2R=1÷(t+1)2

=1÷(1+1)2=1÷(1+1)2

=1÷22=1÷22

=1÷4=1÷4

=0.25=0.25

The reliability is 0.25.

Therefore the failure rate is a DFR because there is a decrease in probability over time.

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