A machine comprises of 3 transformers A, B and C. The machine may operate if at least 2 transformers

are working. The probability of each transformer working are given as shown below;

P(A) = 0.6,

P(B) = 0.5,

P(C) = 0.7

A mechanical engineer went to inspect the working conditions of those transformers. Find the

probabilities of having the following outcomes

i

Only one transformer operating

ii

Two transformers are operating

iii

All three transformers are operating

iv

None is operating

v

At least 2 are operating

vi

At most 2 are operating