A machine is made up of three components which has the following probabilities of working satisfactorily; 0.95, 0.96, 0.92. The machine is designed so that it can still function with only one comp

A machine is made up of three components which has the following probabilities of working  

satisfactorily; 0.95, 0.96, 0.92. The machine is designed so that it can still function with only  

one component working. Calculate the probability that;

a. The machine fails.

b. The machine has only one component working.

c. The machine has at least one component working.