4. days: a) 116 The following components are put on test and fail at the following times in i) 193 65 185 104 154 146 185 Calculate an estimate of the probability of failure at time t using median ranks.

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4. a) The following components are put on test and fail at the following times in
days:
116
BB
i)
ii)
ii)
iv).
v)
OO
1.0
193
1.0
65
185
1.5
0.61
104
Calculate an estimate of the probability of failure at time t using
median ranks.
2.0
0.51
Plot the data on Weibull plotting paper.
Determine the shape and scale parameters. Explain what each
parameter means and the implications of the values for the
components/system they are part of.
154
Calculate the percentage of components failed at the mean life and
the actual mean life value.
2.5
0.37
Using Table Q4, calculate the approximate value for the standard
deviation. Interpret the answer that you obtain.
146
Table Q4
3.0
0.32
185
3.5
0.28
4.0
0.25
5.0
0.21
Transcribed Image Text:4. a) The following components are put on test and fail at the following times in days: 116 BB i) ii) ii) iv). v) OO 1.0 193 1.0 65 185 1.5 0.61 104 Calculate an estimate of the probability of failure at time t using median ranks. 2.0 0.51 Plot the data on Weibull plotting paper. Determine the shape and scale parameters. Explain what each parameter means and the implications of the values for the components/system they are part of. 154 Calculate the percentage of components failed at the mean life and the actual mean life value. 2.5 0.37 Using Table Q4, calculate the approximate value for the standard deviation. Interpret the answer that you obtain. 146 Table Q4 3.0 0.32 185 3.5 0.28 4.0 0.25 5.0 0.21
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