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The manufacturing of semiconductor chips produces 1.5% defective chips. Assume that chips are independent and a lot that will be shipped to a customer contains 1000 chips.
a) Let X be the number of defective chips in a lot that is ready to be shipped. What are the distribution, parameter(s) and support of X?
b) What is the probability that there are at least 15 defective chips in the lot to be shipped? Write out the probability statement and summarize the formula (with values) that you would use (but DO NOT SOLVE).
c) Is there an approximation method to calculate the probability in part b)? Mathematically support your answer.
d) Use that approximation method to find the probability that there are at least 15 defective chips in the lot.
e) What is the approximate probability that there are between 12 and 26 (inclusive) defective chips in the lot?
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