Statistics : Probability
The Binary Computer Company manufactures computer chips used in DVD players. Those chips are made with a (27 + n)% yield meaning that (27 + n)% of them are good and others are defective.
a. If one chip is randomly selected, find the probability that it is not good.
b. If two chips are randomly selected, find the probability that they are both good.
c. If three chips are randomly selected, find the probability that at least one is good.
https://brainmass.com/statistics/probability/probability-defective-computer-chips-286974
SOLUTION This solution is FREE courtesy of BrainMass!
P(A chip is good) = (27 + n)% = 0.01(27 + n) = 0.27 + 0.01n
(a) P(A chip is not good) = 1 - P(A chip is good) = 1 - (0.27 + 0.01n) = 0.73 - 0.01n
(b) P(Both chips are good) = (0.27 + 0.01n)(0.27 + 0.01n) = 0.0729 + 0.0054n + 0.0001n^2
(c) P(One chip is good and the other is not) = (0.27 + 0.01n)(0.73 - 0.01n) = 0.1971 + 0.0046n - 0.0001n^2.
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