document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1182086>Question 1182086</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Each month, an American household generates an average of 30 pounds of newspaper<BR>\n" );
document.write( "for garbage or recycling. Assume the standard deviation is 5 pounds. If a household is<BR>\n" );
document.write( "selected at random, find the probability of its generating<BR>\n" );
document.write( "a. Between 25 and 35 pounds per month<BR>\n" );
document.write( "b. More than 40 pounds per month<BR>\n" );
document.write( "Assume the variable is approximately normally distributed<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 #812068 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=812068\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean = 30 lbs per month<BR>\n" );
document.write( "standard deviation = 5 lbs\r<BR>\n" );
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document.write( "A random selection will give \r<BR>\n" );
document.write( "\n" );
document.write( "a. 25-35 lbs per month<BR>\n" );
document.write( "z1 = (25-30)/5 = -1<BR>\n" );
document.write( "z2 = (35-30)/5 = +1<BR>\n" );
document.write( "P(z1<=x<=z2) <BR>\n" );
document.write( "= P(x<z2) - P(x<z1)<BR>\n" );
document.write( "= 0.8413 - 0.1587<BR>\n" );
document.write( "= 0.6827<BR>\n" );
document.write( "  ======\r<BR>\n" );
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document.write( "b. more than 40 lbs per month<BR>\n" );
document.write( "z2 = (40-30)/5 = 2<BR>\n" );
document.write( "P(x>=z2)<BR>\n" );
document.write( "= 1-P(x<=z2)<BR>\n" );
document.write( "= 1-0.9772<BR>\n" );
document.write( "= 0.02275<BR>\n" );
document.write( "  ======= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );