document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=364479>Question 364479</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. If the random variable z is the standard normal score, is it true that P(-3 < z < 3) > 1? Why or why not?\r<BR>\n" );
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document.write( "2. Givent a binomial distribution with n = 29 and p = 0.83, would the normal distribution provide a reasonable approximation? Why or why not?\r<BR>\n" );
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document.write( "3. Find the area under the standard normal curve for the following: a). P(z < -0.25) b). P(0.55 < z < 0) c.) P(-1.91 < z < 1.06) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #259884 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=259884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28z%29=int%28p%28x%29%2Cdx%2C-infinity%2Cz%29 ALIGN=MIDDLE  ALT=\"P%28z%29=int%28p%28x%29%2Cdx%2C-infinity%2Cz%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=int%28p%28z%29%2Cdz%2C-infinity%2Cinfinity%29=1 ALIGN=MIDDLE  ALT=\"int%28p%28z%29%2Cdz%2C-infinity%2Cinfinity%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   DISABLED_style= \"max-width:90%; height:auto;\" > can never be greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "2)<BR>\n" );
document.write( "The binomial distribution is  approximated by a normal distribution for any fixed <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" >(even if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > is small) as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > is taken to infinity. \r<BR>\n" );
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document.write( "3) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28z%3C0.25%29=P%280.25%29 ALIGN=MIDDLE  ALT=\"P%28z%3C0.25%29=P%280.25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%280.55+%3C+z+%3C+0%29=P%280.55%29-P%280%29 ALIGN=MIDDLE  ALT=\"+P%280.55+%3C+z+%3C+0%29=P%280.55%29-P%280%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280.55+%3C+z+%3C+0%29=P%280.55%29-0.5 ALIGN=MIDDLE  ALT=\"P%280.55+%3C+z+%3C+0%29=P%280.55%29-0.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28-1.91+%3C+z+%3C+1.06%29=P%281.06%29-P%28-1.91%29 ALIGN=MIDDLE  ALT=\"+P%28-1.91+%3C+z+%3C+1.06%29=P%281.06%29-P%28-1.91%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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