document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1020370>Question 1020370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A recent Wall Street Journal article indicated that 38% of American teenagers use Pandora's online radio service.  Suppose a sample of 25 American teenagers are selected. Use this excel output for this binomial problem(https://gyazo.com/0e2c361c443a8e1aa0da1c0dccc2264e)\r<BR>\n" );
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document.write( "1.Find the probability that the number of American teenagers who use Pandora's online radio service differs by greater than 2 from the mean.(round answer to 4 decimal places)\r<BR>\n" );
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document.write( "2.Find the probability that more than 35% but at most 70% of these American teenagers use Pandora's online radio service.(round 4 decimal places)\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #636278 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=636278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "Question:<BR>\n" );
document.write( "A recent Wall Street Journal article indicated that 38% of American teenagers use Pandora's online radio service.  Suppose a sample of 25 American teenagers are selected. Use this excel output for this binomial problem(https://gyazo.com/0e2c361c443a8e1aa0da1c0dccc2264e)<BR>\n" );
document.write( "1.Find the probability that the number of American teenagers who use Pandora's online radio service differs by greater than 2 from the mean.(round answer to 4 decimal places)<BR>\n" );
document.write( "2.Find the probability that more than 35% but at most 70% of these American teenagers use Pandora's online radio service.(round 4 decimal places)<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "n=25<BR>\n" );
document.write( "p=0.38<BR>\n" );
document.write( "mean=np=9.5<BR>\n" );
document.write( "1.<BR>\n" );
document.write( "Number within 2 or less from the mean are 8, 9, 10 and 11.<BR>\n" );
document.write( "P(outside limit)  [0-7, 12-25]<BR>\n" );
document.write( "=1-P(within limit)<BR>\n" );
document.write( "=1-(P(8)+P(9)+P(10)+P(11))<BR>\n" );
document.write( "=1-(0.13899+0.16091+0.15780+0.13188)<BR>\n" );
document.write( "=0.41042<BR>\n" );
document.write( "2.<BR>\n" );
document.write( "lower limit: 35% of 25=8.75 => 9<BR>\n" );
document.write( "upper limit: 70% of 25=17.5 =>17<BR>\n" );
document.write( "So probability is<BR>\n" );
document.write( "P(9 <= X <= 17)= &Sigma; P(i)  for i=9,10,11...17<BR>\n" );
document.write( "=0.16091+0.15780+0.13188+0.09430+0.05778+0.03036+0.01365+0.00523+0.00170<BR>\n" );
document.write( "=0.65362<BR>\n" );
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document.write( "PS sorry, I do not open attached files.<BR>\n" );
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