Reliability of a manufacturing network. Refer to the Journal of Systems Sciences & Systems Engineering (Mar.

2013) study of the reliability of a manufacturing system that involves multiple production lines, Exercise 4.36

(p. 223). 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 given in Exercise 4.36.

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.