document.write( "Question 478008: suppose 13 percent of all credit card holders eventually become deliquent. Suppose we select a random sample of 10 credit card holders. find the probability that : exactly 2 become deliquent, 3 or 4 become delinquent, 1 becomes delinquent, the mean of the probability distribution is, the standard deviation of the probability distribution is \n" ); document.write( "
| Algebra.Com's Answer #327533 by stanbon(75887)      You can put this solution on YOUR website! suppose 13 percent of all credit card holders eventually become deliquent. Suppose we select a random sample of 10 credit card holders. \n" ); document.write( "------ \n" ); document.write( "Binomial Problem with n = 10 and p = 0.13 \n" ); document.write( "---------------------------\r \n" ); document.write( "\n" ); document.write( "Find the probability that : exactly 2 become deliquent, \n" ); document.write( "P(x=2) = 10C2(0.13)^2(0.87)^8 = 0.2496 \n" ); document.write( "---------------------------------------- \r \n" ); document.write( "\n" ); document.write( "3 or 4 become delinquent, \n" ); document.write( "10C3(0.13)^3(0.87)^7 + 10C4(0.13)^4(0.87)^6 \n" ); document.write( "---------------------------------------------------\r \n" ); document.write( "\n" ); document.write( "1 becomes delinquent \n" ); document.write( "10C1(0.13)(0.87)^9 \n" ); document.write( "------------------------------\r \n" ); document.write( "\n" ); document.write( "The mean of the probability distribution is np = 10*0.13 = 1.3 \n" ); document.write( "------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The standard deviation of the probability distribution is sqrt(npq) \n" ); document.write( "= sqrt(1.3*0.87) = 1.0635 \n" ); document.write( "============================= \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "============ \n" ); document.write( " \n" ); document.write( " |