document.write( "Question 664071: I am a salesperson & I close on 70% of all my sales. If I call on 4 sales, what is the probability that I will close on 3 of the 4 sales? \n" ); document.write( "
Algebra.Com's Answer #413104 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Use the binomial probability distribution formula P(X = k) = (n C k)*(p)^(k)*(1-p)^(n-k)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this case, k = 3, n = 4 and p = 0.7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P(X = k) = (n C k)*(p)^(k)*(1-p)^(n-k)\r \n" ); document.write( "\n" ); document.write( "P(X = 3) = (4 C 3)*(0.7)^(3)*(1-0.7)^(4-3)\r \n" ); document.write( "\n" ); document.write( "P(X = 3) = (4 C 3)*(0.7)^(3)*(0.3)^(4-3)\r \n" ); document.write( "\n" ); document.write( "P(X = 3) = (4)*(0.7)^(3)*(0.3)^1\r \n" ); document.write( "\n" ); document.write( "P(X = 3) = (4)*(0.343)*(0.3)\r \n" ); document.write( "\n" ); document.write( "P(X = 3) = 0.4116\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the probability is 0.4116, which is a 41.16% chance. \n" ); document.write( " |