Shoes are packed in boxes each containing 8 pairs. A box is selected at random and the probability of finding a faulty pair of shoes is 0.3.

a. Determine the probability of obtaining:-

i)No faulty pairs of shoes

ii)One faulty pair of shoes

iii)Less than two faulty pairs of shoes

b)Small electronic devices called spugs are packaged in lots of 100. The probability of selecting a faulty spug from a package selected at random is 0.04,

determine the following:

i)the probability of obtaining a spug without any defect

ii) the probability of obtaining a spug with at least one defect defect