A manufacturing company regularly conducts quality control checks on the LED light bulbs it produces. Suppose that the historical failure rate is 0.5%. A quality control manager takes a random sample of 500 bulbs. Respond to the following:
1) the probability that the sample contains no defective bulbs is:
2) the probability that the manager finds 3 defective bulbs is:
3) the probability that the manager finds 4 defective bulbs is:
4) the expected number of defective bulbs for the sample is:
5) the standard deviation of the number of defective bulbs for the sample described is: