document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263064>Question 263064</A>: <I><SPAN STYLE=\"word-break: break-all;\"> J.D. Power and Associates says that 60% of car buyers now use the Internet for research and price comparisons<BR>\n" );
document.write( "a.	Find the probability that in a sample of 8 car buyers, all 8 will use the internet<BR>\n" );
document.write( "b.	At least 5<BR>\n" );
document.write( "c.	More than 4<BR>\n" );
document.write( "d.	Find the mean and standard deviation of the probability distribution<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #193852 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=193852\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> J.D. Power and Associates says that 60% of car buyers now use the Internet for research and price comparisons<BR>\n" );
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document.write( "Binomial Problem with n = 8 ; p = 0.6<BR>\n" );
document.write( "a. Find the probability that in a sample of 8 car buyers, all 8 will use the internet<BR>\n" );
document.write( "P(x = 8) = (0.6)^8 = 0.0168..<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "b. At least 5<BR>\n" );
document.write( "P(5 <= x <= 8) = 1 - P(0<= x <=4) = 1-binomcdf(8,0.6,4) = 0.5941..<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "c. More than 4<BR>\n" );
document.write( "1- 0.5941 = 0.4059..<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "d. Find the mean and standard deviation of the probability distribution<BR>\n" );
document.write( "mean = np = 8*0.6 = 4.8<BR>\n" );
document.write( "std = sqrt(npq) = sqrt(4.8*0.4) = 1.3856..<BR>\n" );
document.write( "==============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );