SOLUTION: The probability of a defect in one of your company's manufactured products is 5 %. What is the probability that in a production run of 14 products, less than 2 will be defective?

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Question 922047: The probability of a defect in one of your company's manufactured products is 5 %.
What is the probability that in a production run of 14 products, less than 2 will be defective?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p(def) = .05, n = 14
P(x < 2) = binomcdf(14, .05, 1)= .8470 0r 84.70% Using TI
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One could also Use Your Casio fx-115 ES plus 0r fx-991 ES plus
In a similar fashion: Mode: DIST(binomial CD).
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Recommend Using stattrek.com to check Results
until You are familiar with Using Your Calculator.
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Above by hand:
P(x < 2) = P(0) + P(1)
where: P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+
p = .05, q = .95 and n = 14