document.write( "Question 1193948: A high school baseball player has a 0.307 batting average. In one game, he gets 5 at bats. What is the probability he will get at least 3 hits in the game? \n" ); document.write( "
Algebra.Com's Answer #826012 by ikleyn(52852)\"\" \"About 
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\n" ); document.write( "A high school baseball player has a 0.307 batting average. In one game, he gets 5 at bats.
\n" ); document.write( "What is the probability he will get at least 3 hits in the game?
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\n" ); document.write( "\n" ); document.write( "            It is a standard binomial distribution problem.\r
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document.write( "The number of trials is n=5;  the indexes of successful trials are k=3, 4, 5; \r\n" );
document.write( "the probability of success for each single individual trial is p = 0.307).\r\n" );
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document.write( "     The formula to calculate the probability is\r\n" );
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document.write( "         P = P(3) + P(4) + P(5) = P(n=5; k>=3; p=0.307) = \"sum%28C%5B5%5D%5Ek%2A0.307%5Ek%2A%281-0.307%29%5E%285-k%29%2Ck=3%2C5%29\" = \"sum%28C%5B5%5D%5Ek%2A0.307%5Ek%2A0.693%5E%285-k%29%2C+k=3%2C5%29\".\r\n" );
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document.write( "     To facilitate my calculations, I used online calculator at this site  https://stattrek.com/online-calculator/binomial.aspx\r\n" );
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document.write( "     It provides nice instructions  and  a convenient input and output for all relevant options/cases.\r\n" );
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document.write( "          The resulting number is P = 0.17246357389 = 0.1725  (rounded).    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "If you want to see many similar  (or different)  solved problems,  look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Simple and simplest probability problems on Binomial distribution \r
\n" ); document.write( "\n" ); document.write( "    - Typical binomial distribution probability problems \r
\n" ); document.write( "\n" ); document.write( "    - How to calculate Binomial probabilities with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using MS Excel) \r
\n" ); document.write( "\n" ); document.write( "    - Solving problems on Binomial distribution with Technology (using online solver) \r
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\n" ); document.write( "\n" ); document.write( "After reading these lessons,  you will be able to solve such problems on your own, \r
\n" ); document.write( "\n" ); document.write( "which is your  PRIMARY  MAJOR  GOAL  visiting this forum  (I believe).\r
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