SOLUTION: assume that a certain company was producing a bottles of soft drinks it is known that the probablity that the company produce a defective bottles was 0.15.If 10 bottles produced by

Question 1015137: assume that a certain company was producing a bottles of soft drinks it is known that the probablity that the company produce a defective bottles was 0.15.If 10 bottles produced by the company were selected randomly find the probablity that at least two bottles of soft drink is defective?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
at least 2 bottles:
find probability of 0, 1. You don't want that, but if you subtract that value from 1, you will get what you do want.
probability of 0 is 0.85^10, because that means all are not defective.
p(0)=0.1969
p(1)=10 ways it can happen*(0.85^9)(0.15)^1
=0.3474
The sum of p(0) and p(1)=0.5443
At least 2 bottles are defective is 1-0.5443 or 0.4557.
This is easier than computing the nine probabilities from p(2) to p(10), although the last few will be essentially 0.
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