In: Statistics and Probability
A manufacturing company manufactures 100 products every day. There is a 5% chance that any of the manufactured products is defective and the products are independent. Consider the 100 products manufactured on a single day.
Find the probability that
(a) only the first and the last products are defective and the rest are good
(b) no more than 2 products are defective
(c) the third defective product happens to be the 60th product
(d) there are two defective products within the first 50 products and two more defective products within the second set of 50 products.