document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=339740>Question 339740</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. 	The probability that an adult male is shorter than 66 inches is 0.3;  that he is between 66 and 70 inches is 0.5;  and that he is taller than 70 inches is 0.2.  If two males are picked at random, find the probability that:\r<BR>\n" );
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document.write( "a. 	the heights of both are between 66 and 70 inches.\r<BR>\n" );
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document.write( "b. 	the first is shorter than 66 inches and the second is taller than 70 inches.\r<BR>\n" );
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document.write( "c. 	the first is 70 inches or shorter and the second is 66 inches or taller.\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 #243379 by </B><A HREF=/tutors/aboutme.mpl?userid=jrfrunner><B>jrfrunner(365)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jrfrunner><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=jrfrunner><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=243379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. Probability the heights of both are between 66 and 70 inches<BR>\n" );
document.write( "P((both between 66 and 70)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2866%3Cx%3C70%29P%2866%3Cy%3C70%29=0.5%2A0.5=0.25 ALIGN=MIDDLE  ALT=\"P%2866%3Cx%3C70%29P%2866%3Cy%3C70%29=0.5%2A0.5=0.25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b. probability the first is shorter than 66 inches and the second is taller than 70 inches. \r<BR>\n" );
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document.write( "P(x<66 and y>70)=P(x<66)P(>70)=0.3*0.2=0.06<BR>\n" );
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document.write( "c. probabilitythe first is 70 inches or shorter and the second is 66 inches or taller<BR>\n" );
document.write( "P(x<70 and y>66)=P(x<70)P(>66)=(0.3+0.5)*(0.5+0.2)=0.8*0.7=0.56 </SPAN>\n" );
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