Out of the total nuts manufactured by a company 0.5 percent became defective. The nuts are supplied in packets of 40. Find out the probability number of packets containing:
(a) No defective
(b) One defective
(c) Two defectives
(d) Three defectives
(e) Less than four defectives and
(f) More than four defective nuts respectively in a consignment of 50,000 packets. Assume Poisson distribution.