document.write( "Question 443068: Binomial probability: \r
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document.write( "Jessie is a fantastic goalie who stops three out of every four penalty shots taken on her. In a particularly tough game, she faced five penalty shots. What is the probability she lets only one of the five shots score? \r
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document.write( "If R=1 N=5, would probability of success be: P=3/4 and probability of failure be: Q=1/4 because I'm not sure 100%? \r
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document.write( "(I'm just having a hard time figuring out if I am writing my fractions correctly for: P=Probability of success and Q=Probability of failure. Therefore, I don't know if my equation should be set up as: 5C1(3/4)^1(1/4)^4 and if my answer than should be 1.46%. Please let me know if this is correct or not. Thank you and I really appreciate it too.) \n" );
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Algebra.Com's Answer #305628 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Binomial probability: \n" ); document.write( "Jessie is a fantastic goalie who stops three out of every four penalty shots taken on her. \n" ); document.write( "--- \n" ); document.write( "P(blocks shot) = 3/4 = 0.75 \n" ); document.write( "P(allows goal) = 0.25 \n" ); document.write( "----------\r \n" ); document.write( "\n" ); document.write( "In a particularly tough game, she faced five penalty shots. What is the probability she lets only one of the five shots score? \n" ); document.write( "--- \n" ); document.write( "Binomial Problem with n = 5 and p = 0.25 (allows goal) \n" ); document.write( "P(allows one goal in 5 shots) = 5C1(0.25)(0.75)^4 = 0.3955 \n" ); document.write( "--- \n" ); document.write( "Comment: Get away from using the words \"success\" and \"failure\". \n" ); document.write( "Use the words relating to the situation described. Actually \n" ); document.write( "write the words down as I have above. That way you will aways \n" ); document.write( "know what p is and what q is. \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |