document.write( "Question 190337: stanbon 21772
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document.write( "having trouble to figure out how you solved the question about the baseball player hits a homerun on the average of once every 12 times at bat= would you mind letting me what to due
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document.write( "thanks
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Algebra.Com's Answer #142893 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Hope the additional explanation is helpful. \n" ); document.write( "Let me know if there are statements you do \n" ); document.write( "not understand. \n" ); document.write( "--------------------------- \n" ); document.write( "A baseball player hits a homerun on the average of once every 12 times at bat. Use the idea of independent trials to answer the following questions. \n" ); document.write( "--- \n" ); document.write( " \n" ); document.write( "If he bats 5 times in a game, what is the probability he will hit exactly one home run? \n" ); document.write( "It's binomial with n=5, p = 1/12, x = 1 \n" ); document.write( "If you use a TI calculator you get binompdf(5,12^-1,1) = 0.2942 \n" ); document.write( "-------- \n" ); document.write( "If you do not have a TI: P(x=1) = 5C1(1/12)^1(11/12)^4 \n" ); document.write( "= 5*(1/12)(0.70607) = 0.2942 \n" ); document.write( "------------------------------------------ \n" ); document.write( "If he comes to bat 5 times, what is the probability he will hit at least one home run? \n" ); document.write( "P(at least one) = 1 - P(no home runs) = 1-binompdf(5,12^-1,0) = 0.3528 \n" ); document.write( "OR \n" ); document.write( "P(at least one) = 1-P(no home runs) = 1 - 5C0(1/12)^0(11/12)^5 \n" ); document.write( "= 1 - 1*1* = 1-0.6472 = 0.3528 \n" ); document.write( "------------------------------------------ \n" ); document.write( "If he comes to bat 5 times in a game, what is the expected value for the number of home runs he will hit? \n" ); document.write( "E(x) = np = 5(1/12) = 5/12 \n" ); document.write( "============================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |