document.write( "Question 637653: From a lot of 12 missiles, 5 are selected at random and fired. If the lot contains 3 defective missiles that will not fire, what is the probability that
\n" ); document.write( "a) all 5 will fire?
\n" ); document.write( "b) at most 2 will fire?\r
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\n" ); document.write( "\n" ); document.write( "Please use hypergeometric distribution.
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Algebra.Com's Answer #401791 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "From a lot of 12 missiles, 5 are selected at random and fired.
\n" ); document.write( "If the lot contains 3 defective missiles \"1%2F4\"th are defective
\n" ); document.write( "P(5 will fire) = (3/4)^5
\n" ); document.write( "P(at most 2 will fire) = P(0 fire) + P(1 fire) + P(2 fire)
\n" ); document.write( " = (1/4)^5 + 5(1/4)^4(3/4)^1 + 10(1/4)^3(3/4)^2\r
\n" ); document.write( "\n" ); document.write( "Note: The probability of x successes in n trials is:
\n" ); document.write( "P = nCx* \"p%5Ex%2Aq%5E%28n-x%29\" where p and q are the probabilities of success and failure respectively.
\n" ); document.write( "In this case p = 3/4 & q = 1/4
\n" ); document.write( "nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"
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