document.write( "Question 660390: The probability is 0.62 that a high school valedictorian graduates from college as cum laude.
\n" ); document.write( "a) Let X be the number of cum laude graduates out of a random sample of 5 high school valedictorians. Find the probability distribution of the random variable X.
\n" ); document.write( "b) What is the probability that in random sample of 5 valedictorians, 4 will graduate as cum laude?
\n" ); document.write( "c) What is the probability that among a random sample of 5 valedictorians at most 3 will graduate as cum laude?
\n" ); document.write( "d) What is the probability that among a random sample of 5 valedictorians at least one will graduate as cum laude?
\n" ); document.write( "

Algebra.Com's Answer #411169 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "probability is 0.62 that a high school valedictorian graduates from college as cum laude
\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(cum laude)= .62 & q = .38 and n = 5
\n" ); document.write( "random sample of 5 valedictorians
\n" ); document.write( "P(x = 4) = \"5C4%28.62%29%5E4%28.38%29%5E1\"
\n" ); document.write( "P(x ≤ 3) = 1 - P(x=4) - P(x=5) = \"1+-+5C4%28.62%29%5E4%28.38%29%5E1+-+5C5%28.62%29%5E5%28.38%29%5E0\"
\n" ); document.write( "P(x ≥ 1) = 1 - P(0)= \"1+-+5C0%28.62%29%5E0%28.38%29%5E5\" \n" ); document.write( "
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