Question: 40. A six-sigma green belt quality control engineer found that on average, batches of 500 computer chips have exactly two defective chips. (a) Using the

40. A six-sigma green belt quality control engineer found that on average, batches of 500 computer chips have exactly two defective chips.

(a) Using the formula for the Poisson distribution, determine the probability that a box of 1000 chips will have exactly 5 defective chips.

162 4 Discrete Random Variables and Some Important Discrete Probability Distributions

(b) Using the Poisson distribution (Table A.3), compute the probability that a box of 1000 chips will have (i) more than five defective chips, (ii) at the most six defective chips, (iii) between four and eight (inclusive) defective chips.

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