document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=350677>Question 350677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Why isn't spinning a roulette wheel 4 times, keeping track of the winning<BR>\n" );
document.write( ">numbers a binomial of distribution?<BR>\n" );
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document.write( "> A test consists of 10 true/false questions.  To pass the test a student must<BR>\n" );
document.write( "> answer at least 7 questions correctly.  If a student guesses on each<BR>\n" );
document.write( "> question, what is the probability that the student will pass the test?<BR>\n" );
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document.write( "> A study conducted at a certain college shows that 75% of the school's<BR>\n" );
document.write( "> graduates find a job in their chosen field within a year after graduation.<BR>\n" );
document.write( "> Find the probability that 8 randomly selected graduates all find jobs in<BR>\n" );
document.write( "> their chosen field within a year of graduating.<BR>\n" );
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document.write( "> You are dealt two cards successively (w/o replacement) from a shuffled deck<BR>\n" );
document.write( "> of 52 playing cards.  Find the probability that both cards are black.<BR>\n" );
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document.write( "> Find the standard deviation if x=0 and P(X)=.15,  x=1 and P(X)=.33, x=2 and<BR>\n" );
document.write( "> P(x)=.05, x=3 and P(x)=.19, x=4 and P(x)=.28<BR>\n" );
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document.write( "> Thank you and if you could show me how you worked the problems out that<BR>\n" );
document.write( "> would be very helpful!<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 #250669 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=250669\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( ">Why isn't spinning a roulette wheel 4 times, keeping track of the winning<BR>\n" );
document.write( ">numbers a binomial of distribution?<BR>\n" );
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document.write( "Binomial distributions only work when two choices are available, heads or tails on a coin, True or False on a test. A roulette wheel has multiple numbers (more than 2), 3 colors (red, black, and green) so could not be modeled as a binomial distribution.<BR>\n" );
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document.write( "> You are dealt two cards successively (w/o replacement) from a shuffled deck<BR>\n" );
document.write( "> of 52 playing cards. Find the probability that both cards are black.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28B%29=26%2F52=1%2F2 ALIGN=MIDDLE  ALT=\"P%28B%29=26%2F52=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Once a black card is dealt, the total number of black cards and total cards reduces by 1. Then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28B%29=25%2F51 ALIGN=MIDDLE  ALT=\"P%28B%29=25%2F51\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then to get the probability of drawing two black cards in a row, multiply the individual probabilities together.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282B%29=%281%2F2%29%2825%2F51%29=25%2F102 ALIGN=MIDDLE  ALT=\"P%282B%29=%281%2F2%29%2825%2F51%29=25%2F102\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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