Homework Answers
The probability that a microscope is defective is 0.17%. Thus, the probability, p is 0.0017.
The probability, then that a microscope is not defective, q is 0.9983.
The probability that the first defective microscope comes after 100 trials is failure to the power of number of trials.
Failure here is a microscope being non defective.
Multiplying q 100 times (assuming every trial is independent) means the first 100 trials are failures (non defective pieces), which will give us our required answer.
Thus, 0.9983100 is 0.8435 or 0.844.
Thus the correct answer is 0.844.
(84.4 % of the times will the first defective microscope come only after at least 100 trials).
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