document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=160822>Question 160822</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073534961/algebrahomeworkh>Elementary Statistics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 5.2 (10, 14)\r<BR>\n" );
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document.write( "10. Determine whether the distribution represents a probability distribution. It not, state why. \r<BR>\n" );
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document.write( "    x   20  30  40  50<BR>\n" );
document.write( "    p(x)1.1 0.2 0.9 0.3\r<BR>\n" );
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document.write( "14. State whether the variable is discrete or continuous.<BR>\n" );
document.write( "    The number of people who play the state lottery each day.\r<BR>\n" );
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document.write( "5.3 Problem # 19\r<BR>\n" );
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document.write( "   A person decides to invest $50,000 in a gas well. Based on history, the probabilities of the outcomes are as follows.<BR>\n" );
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document.write( "Outcome                         p(x)<BR>\n" );
document.write( "$80,000 (highly successful)     0.2<BR>\n" );
document.write( "$40,000 (Moderately successful) 0.7<BR>\n" );
document.write( "-$50,000 (Dry well)             0.1<BR>\n" );
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document.write( " Find the expected value of the investment. Would you consider this a good investment?   \r<BR>\n" );
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document.write( "5.4 Problem # 16\r<BR>\n" );
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document.write( "16.  Find the mean, variance, and standard deviation for the number of heads when 20 coins are tossed. <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 #118566 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=118566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5.2 (10, 14)\r<BR>\n" );
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document.write( "10. No, p(x)<=1, p(20)>1.<BR>\n" );
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document.write( "14. Discrete, the values are only positive integers (0,1,2,3,...). no numbers in between.<BR>\n" );
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document.write( "5.3 Problem # 19\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=80000%280.2%29%2B40000%280.7%29%2B%28-50000%29%280.1%29 ALIGN=MIDDLE  ALT=\"E=80000%280.2%29%2B40000%280.7%29%2B%28-50000%29%280.1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=E=16000%2B28000-5000=39000 ALIGN=MIDDLE  ALT=\"E=16000%2B28000-5000=39000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You put in $50,000 and get back $39,000. Doesn't seem like a good investment.\r<BR>\n" );
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document.write( "Coin flipping is a binomial event (heads or tails).<BR>\n" );
document.write( "Number of trials(coin flips), n=20<BR>\n" );
document.write( "Probability of heads, p=1/2.<BR>\n" );
document.write( "Mean=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=np ALIGN=MIDDLE  ALT=\"np\"   DISABLED_style= \"max-width:90%; height:auto;\" >=10 heads<BR>\n" );
document.write( "Variance = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=np%281-p%29=20%281%2F2%29%281-1%2F2%29=5 ALIGN=MIDDLE  ALT=\"np%281-p%29=20%281%2F2%29%281-1%2F2%29=5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Standard deviation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28np%281-p%29%29=sqrt%285%29 ALIGN=MIDDLE  ALT=\"sqrt%28np%281-p%29%29=sqrt%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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