document.write( "Question 415151: The probability that a player makes a free throw is 0.60. In 3 free throws, find the probability that the player makes
\n" ); document.write( "a. exactly 3 free throws
\n" ); document.write( "b. at least 1 free throw
\n" ); document.write( "c. an odd number of free throws
\n" ); document.write( "d. if X=number of free throws a player can successfully make. Compute the value of the following:
\n" ); document.write( "i. Mean
\n" ); document.write( "ii. Variance
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Algebra.Com's Answer #291096 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi
\n" ); document.write( "The probability that a player makes a free throw is 0.60. In 3 free throws, find the probability that the player makes:
\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 = .6 & q =.4
\n" ); document.write( "nCx = \"n%21%2F%28x%21%28n-x%29%21%29\"
\n" ); document.write( "a. exactly 3 free throws = .6^3 = .216
\n" ); document.write( "b. at least 1 free throw = 1 - .4^3 = 1 -.064 = .936
\n" ); document.write( "c. an odd number of free throws (1 '0r' 3) = 3*.6*.4^2 + .6^3 = .288 +.216
\n" ); document.write( "d. if X=number of free throws a player can successfully make. Compute the value of the following:
\n" ); document.write( "i. Mean = .6X |mean = np
\n" ); document.write( "ii. Variance = .6*.4*X = .24X |variance = npq
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