document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191844>Question 191844</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a few questions that I am having a very difficult time with. \r<BR>\n" );
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document.write( "1.) A 28-year-old man pays $ 175 for a one-year life insurance policy with coverage of  $140,000. If the probability that he will live through the year is  0.9993, what is the expected value for the insurance policy? \r<BR>\n" );
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document.write( "2.)Two dice are rolled. Find the odds that the score on the dice is either  10 or at most  5. \r<BR>\n" );
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document.write( "3.)What are the odds in favor of getting at most two heads in three successive flips of a coin? \r<BR>\n" );
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document.write( "4.)Assume that the weight loss for the first two months of a diet program has a uniform distrbiution over the interval 6 to 12 pounds. Find the probability that a person on this diet loses between  9 and  12 pounds in the first two months.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143993 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=143993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1.) A 28-year-old man pays $ 175 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9993, what is the expected value for the insurance policy? <BR>\n" );
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document.write( "Ramdom Variable X = -175 , 140,000<BR>\n" );
document.write( "Corresponding Probabilities: 0.9993, 0.0007<BR>\n" );
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document.write( "Expected Value: 0.9993(-175) + 0.0007(140,000) = -$76.88\r<BR>\n" );
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document.write( "2.)Two dice are rolled. Find the odds that the score on the dice is either 10 or at most 5. <BR>\n" );
document.write( "Sketch the sample space (a 6x6 square of dice sums) and you will see that<BR>\n" );
document.write( "P(10) = 3/36 and P(1=<x<=5) = 10/36<BR>\n" );
document.write( "P(10 or <=5) = 13/36 <BR>\n" );
document.write( "Therefor the odds are [13/36]/[23/36] = 13/23<BR>\n" );
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document.write( "3.)What are the odds in favor of getting at most two heads in three successive flips of a coin? <BR>\n" );
document.write( "P(0<=x<=2) = 1 - P3 heads) = 1-(1/8) = 7/8<BR>\n" );
document.write( "Therefore the odds in favor = (7/8)/(1/8) = 7:1<BR>\n" );
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document.write( "4.)Assume that the weight loss for the first two months of a diet program has a uniform distrbiution over the interval 6 to 12 pounds. Find the probability that a person on this diet loses between 9 and 12 pounds in the first two months. <BR>\n" );
document.write( "Draw the picture: The mean value is 9. The right tail is 12.<BR>\n" );
document.write( "Half the population is above the interval 9 to 12.<BR>\n" );
document.write( "The Probibility is 50% = 0.5000<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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