SOLUTION: The probability that a pen drawn at random from a box of pen is defective is 0.1. If a sample of 6 pens is taken, the probability of 1) no defective pens 2) 5 or 6 defective pens

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Question 913201: The probability that a pen drawn at random from a box of pen is defective is 0.1. If a sample of 6 pens is taken, the probability of
1) no defective pens
2) 5 or 6 defective pens
3) Less than 3 defective pens
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
p = .1, n = 6
1) P(x = 0) = binompdf(6, .1, 0) 0r (.9)^6
2) P(x = 5 or 6 defective pens) = binompdf(6, .1, 5) + binompdf(6, .1, 6)
3) P(Less than 3 defective pens) = binomcdf(6, .1, 2)
..........
Or by hand Using
P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+
p and q are the probabilities of success and failure respectively.
In this case p = .1 & q = .9 , n = 6
nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29
............For ex
3) P(Less than 3 defective pens) = P(0) + P(1)+ P(2)