5. An automated sandwich-making machine in a food manufacturer’s factory has six major components, with individual reliabilities as shown in Table 14.2.

a) What is the reliability of the whole system????

b) If it is decided that the wrapper in the automated sandwich-making machine is too unreliable and a second wrapper is needed that will come into action if the first one fails, what will happen to the reliability of the machine????

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Table 14.2 Individual reliabilities of major components Component Bread slicer Butter applicator Reliability 0.97 0.96 Salad filler 0.94 Meat filler 0.92 Top slice of bread applicator 0.96 Wrapper 0.91