document.write( "Question 1203532: suppose that milk is shipped to retail outlets in boxes that hold 16 milk containers .One particular box which happens to contain 6 underweight containers is opened for inspection and 5 containers are choosen at random interpret the distribution of the number of underweight milk containers in the sample chosen by the inspector .Also comment on the expected value value of the distribution .What is the probability that exact 2 underweight containers are selected \n" ); document.write( "
Algebra.Com's Answer #839178 by Theo(13342)\"\" \"About 
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i think this is goiing to be a binomial distriution type problem.
\n" ); document.write( "there are 16 containers in the box, 6 of which are defective.
\n" ); document.write( "probability of any one container being defective is 6/16.
\n" ); document.write( "you randomly choose 5 out of the 16.
\n" ); document.write( "the binomial distibution formula is p(x) = p^x * (1-p)^(n-x) * c(n,x)
\n" ); document.write( "the probability that exactly 2 out of the 5 are defective would be:
\n" ); document.write( "p(2) = (6/16)^2 * (1 - 6/16)^(5-2) * c(5,2) = .3433227539.
\n" ); document.write( "the total probability should be 1, as shown in the following excel file display.
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