document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930098>Question 930098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of viewers of American Idol has a mean of 32 million with a standard deviation of 6 million. Assume this distribution follows a normal distribution.<BR>\n" );
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document.write( "What is the probability that next week's show will: \r<BR>\n" );
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document.write( "Have between 38 and 44 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)<BR>\n" );
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document.write( "  Probability    \r<BR>\n" );
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document.write( "(b) <BR>\n" );
document.write( "Have at least 23 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)<BR>\n" );
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document.write( "  Probability    \r<BR>\n" );
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document.write( "(c) <BR>\n" );
document.write( "Exceed 51 million viewers? (Round z-score computation to 2 decimal places and your final answer to 4 decimal places.)<BR>\n" );
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document.write( "  Probability    <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 #564701 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=564701\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean = 32 million, SD = 6 million. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+blue%28x+-+32%29%2Fblue%286%29 ALIGN=MIDDLE  ALT=\"z+=+blue%28x+-+32%29%2Fblue%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >     <BR>\n" );
document.write( "P(38 < x < 44) = P( 1 < z < 2) = normalcdf( 1 , 2) = .1359<BR>\n" );
document.write( "P(x &#8805; 23) = P( z > -9/6) = normalcdf(-9/6, 100)= .9332<BR>\n" );
document.write( "P( x > 51) = P(z > 19/6) = normalcdf( 19/6, 100)= .00077<BR>\n" );
document.write( "Using a TI calculator 0r similarly a Casio fx-115 ES plus </SPAN>\n" );
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