A product is composed of four parts. In order for the product to function properly in a given situation, each of the parts must function. Two of the parts have a .96 probability of functioning, and

two have a probability of .99. 


What is the overall probability that the product will function properly?


. A system consists of three identical components. In order for the system to perform as intended, all

of the components must perform.


Each has the same probability of performance. If the system is

to have a .92 probability of performing, what is the minimum probability of performing needed by

each of the individual components?