answer this questions in details

1) On the basis of past experience, the probability that a certain electrical component will be satisfactory is 0.98. The components are sampled item by item om continuous production. In a sample of ve components, what are the probabilities of nding (a) zero, (b) exactly one, (c) exactly two, (d) two or more defectives? 2) A sample of eleven electric bulbs is drawn every day from those manufactured at a plant. The eleven bulbs are tested before shipment to the customer. An analysis of the test data collected over a number of years reveals that the probability of nding no defective bulb in a sample of eleven bulbs is .5688. Probabilities of defective bulbs are random and independent of previous results. a) What is the probability of nding exactly three defective bulbs in a sample? b) What is the probability of nding three or more defective bulbs in a sample? 3) 5% of the tools produced by a certain process are defective. Find the probability that in a sample of 40 tools chosen at random, exactly three will be defective. Calculate a) using the binomial distribution, and b) using the Poisson distribution as an approximation. 4) Customers arrive at a checkout counter at an average rate of 1.5 per minute. Find the probabilities that a) exactly two will arrive in any given minute; b) at least three will arrive during an interval of two minutes