document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=909190>Question 909190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7% of the customers did not receive delivery \r<BR>\n" );
document.write( "\n" );
document.write( "If a sample of 50 customers is selected on a given day, assuming that the trials are independent of each other with one outcome, what is the probability that. \r<BR>\n" );
document.write( "\n" );
document.write( "a. fewer than 3 customers would receive a free newspaper?\r<BR>\n" );
document.write( "\n" );
document.write( "b. 2, 3, or 4 customers would receive a free newspaper? \r<BR>\n" );
document.write( "\n" );
document.write( "c. more than 5 customers would receive a free newspaper? \r<BR>\n" );
document.write( "\n" );
document.write( "I believe n=50 P=.07 and X=3 for part A\r<BR>\n" );
document.write( "\n" );
document.write( "I have tried this problem multiple times using the Binomial probability formula, but all my answers seem incorrect. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #551663 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=551663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> X~binomial(n=50, p=.07)\r<BR>\n" );
document.write( "\n" );
document.write( "A) P[X<3] = P[X<=2] = P[X=0] + P[X=1] + P[X=2] = (50 choose 0)(.07)^0(.93)^50 + (50 choose 1)(.07)^1(.93)^49 + (50 choose 2)(.07)^2(.93)^48 = .3108\r<BR>\n" );
document.write( "\n" );
document.write( "B) P[X=2] + P[X=3] + P[X=4] = (50 choose 2)(.07)^2(.93)^48 + (50 choose 3)(.07)^3(.93)^47 + (50 choose 4)(.07)^4(.93)^46 = .6025\r<BR>\n" );
document.write( "\n" );
document.write( "C) P[X>5] = 1-P[X<=5]  (using the complement). \r<BR>\n" );
document.write( "\n" );
document.write( "1-(P[X=0] + P[X=1] + (P[X=2] + P[X=3] + P[X=4])+ P[X=5])\r<BR>\n" );
document.write( "\n" );
document.write( "1-(P[X=0] + P[X=1] + B + P[X=5])  where B is the answer from part B.\r<BR>\n" );
document.write( "\n" );
document.write( "1-((50 choose 0)(.07)^0(.93)^50 + (50 choose 1)(.07)^1(.93)^49 + .6025  + (50 choose 5)(.07)^5(.93)^45) = .1351\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps!\r<BR>\n" );
document.write( "\n" );
document.write( "Devin [swincher4391@yahoo.com]\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );