Refer to the Journal of Systems Sciences & Systems Engineering (March, 2013) study of the reliability of a manufacturing system that involves multiple production lines, Exercise 4.6. Consider, again, the network for producing integrated circuit (IC) cards with two production lines set up in sequence. The probability distribution of the maximum capacity level of each line is reproduced below.
a. Find the mean maximum capacity for each line. Interpret the results practically.
b. Find the standard deviation of the maximum capacity for each line. Interpret the results practically.

Data from Exercise 4.6

A team of industrial management university professors investigated the reliability of a manufacturing system that involves multiple production lines (Journal of Systems Sciences & Systems Engineering, March 2013). An example of such a network is a system for producing integrated circuit (IC) cards with two production lines set up in sequence. Items (IC cards) first pass through Line 1, then are processed by Line 2. The probability distribution of the maximum capacity level Y of each line is shown in the next table. Assume the lines operate independently.

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Line Maximum capacity, y 1 .01 12 .02 24 .02 36 95 .002 35 .002 70 .996 2.