Computing overall system reliability


Practice Question 1:

In the table below there are 25 different fuses that will are supposed to trip at 30 seconds when held at a constant 10 amps. There times are as follows:

29.3

30.5

29.9

33.1

28.9

31.4

28.9

30.7

33.1

28.7

31.3

30.1

27.6

30.4

30.7

29.5

31.1

30.2

30.5

29.7

32.1

31.6

30.3

29.9

27.8

 

 

 

Calculate the following:

a)Exponential Distribution (plot)

b)Normal Distribution (plot)

c)The Trip Reliability of Time

d)The associated Confidence Intervals

Question 2

In the table below there are 25 different fuses that will are supposed to trip 25 amps when the current being applied is increased beyond the normal ten. The currents at when they tripped are listed below:

24

26

30

21

24

23

25

25

27

26

28

20

27

25

26

26

25

24

24

28

 

22

22

25

26

22

 

 

Calculate the following:

a)Exponential Distribution (plot)

b)Normal Distribution (plot)

c)The Trip Reliability of current

d)The associated Confidence Intervals

Practice Question 3

Using the previous questions, determine the following information:

a)Overall System Reliability

b)The 2 Fuse Reliability (R^2-2R)

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Mathematics: Computing overall system reliability
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