document.write( "Question 1198505: In the warehouse, 3% of the batteries go out of order. What is the probability that exactly 5 out of 125 batteries will go out-of-line? \n" ); document.write( "
Algebra.Com's Answer #832123 by ikleyn(52879)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "In the warehouse, 3% of the batteries go out of order.
\n" ); document.write( "What is the probability that exactly 5 out of 125 batteries will go out-of-line?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "It is a typical; binomial distribution probability problem.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The number of trials is 125;  the number of successful trials is 5; \r\n" );
document.write( "the probability of success for each single individual trial is p = 0.03.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     Use the formula to calculate the probability\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "         P(n=125, k=5, p= 0.03) = \"C%5B125%5D%5E5%2A0.03%5E5%2A%281-0.03%29%5E%28125-5%29\" = \r\n" );
document.write( "\r\n" );
document.write( "         = \"%28%28125%2A124%2A123%2A122%2A121%29%2F%281%2A2%2A3%2A4%2A5%29%29%2A0.03%5E5%2A0.97%5E120\" = 0.1474  (rounded).    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------\r
\n" ); document.write( "
\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( "in this site.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );