Three independent machines M1,M2 and M3 in a factory produce a defective item on a particular day with probabilities 0.05, 0.04 and 0.06 respectively.
a. (i) Find the probability that at least one of the machines produces a defective item on that day.
b. (ii) Find the probability that at most one machine produces a defective item on that day.
c. (iii) Find the probability that exactly two machines produce a defective item on that day.