Probability of Defective Resistors: DeMoivre-Laplace Theorem
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A manufacturer of electronic equipment buys 900 resistors for which the probability of any single resistor being defective is p = 0.01. What is the probability that:
(a) Exactly two of the resistors are bad ?
(b) None of the resistors are bad ?
(c) Exactly 9 of the resistors are bad ? (Use the DeMoivre-Laplace Theorem).
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Solution Summary
The solution is using binomial distribution to assess probabilities of events.
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DeMoivre-Laplace Theorem states that P(k) = 1/sqrt (2*pi*n*p*q) * e^-(k-np)^2 / 2npq in the neighborhood of np;
in the given problem, n = 900 p=.01 q = 1-p = ...
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- BE, Bangalore University, India
- MS, University of Wisconsin-Madison
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