document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=450570>Question 450570</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For Adam the probability a bull's eye with a bow and arrow is .4.  <BR>\n" );
document.write( "Adam will take 5 shots.\r<BR>\n" );
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document.write( "a)  What type of probability distribution is this?\r<BR>\n" );
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document.write( "b) Complete the chart to show the probability distribution for the random variable X which represents the number of possible bull's eyes its associated probability.\r<BR>\n" );
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document.write( "X = # Bull's Eyes                           P(X)\r<BR>\n" );
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document.write( "c) What is the probability that Adam will get at least 2 bull's eyes?\r<BR>\n" );
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document.write( "d) How many bull's eyes do you expect him to make?\r<BR>\n" );
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document.write( "____________\r<BR>\n" );
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document.write( "A box contains 5 dozen heads of lettuce.  There are eight spoiled heads in the box.  A person chooses a dozen heads at random.\r<BR>\n" );
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document.write( "a)  What is the expected number of spoiled heads that will be chosen?\r<BR>\n" );
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document.write( "b)  What is the probability that he did not choose any of the spoiled heads?\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 #309940 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=309940\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For Adam the probability a bull's eye with a bow and arrow is .4. <BR>\n" );
document.write( "Adam will take 5 shots. <BR>\n" );
document.write( "a) What type of probability distribution is this?::Binomial<BR>\n" );
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document.write( "b) Complete the chart to show the probability distribution for the random variable X which represents the number of possible bull's eyes its associated probability. <BR>\n" );
document.write( "X = # Bull's Eyes P(X) \r<BR>\n" );
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document.write( "c) What is the probability that Adam will get at least 2 bull's eyes?<BR>\n" );
document.write( "Ans: 1-binomcdf(5,0.4,1) = 0.6630<BR>\n" );
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document.write( "d) How many bull's eyes do you expect him to make?<BR>\n" );
document.write( "Ans: E(x) = np = 5*0.4 = 2<BR>\n" );
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document.write( "A box contains 5 dozen heads of lettuce. <BR>\n" );
document.write( "There are eight spoiled heads in the box. <BR>\n" );
document.write( "A person chooses a dozen heads at random. <BR>\n" );
document.write( "a) What is the expected number of spoiled heads that will be chosen?<BR>\n" );
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document.write( "Comment: That is not a binomial problem as the probability<BR>\n" );
document.write( "of selecting a spoiled head changes after each selection.<BR>\n" );
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document.write( "b) What is the probability that he did not choose any of the spoiled heads? <BR>\n" );
document.write( "P(no spoiled in choosing 12) <BR>\n" );
document.write( "= P(choose 12 good heads) <BR>\n" );
document.write( "= 52C12/60C12 <BR>\n" );
document.write( "= 0.1475<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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