document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028488>Question 1028488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "I am doing probability distributions and finding the mean and standard deviation of a binomial distribution at the moment and have a multiple step question i need help on. <BR>\n" );
document.write( "It is: Find the mean and standard deviation for each of the following binomial random variables. <BR>\n" );
document.write( "A.) the number of tails seen in 50 tosses of a quarter<BR>\n" );
document.write( "B.) the number of aces seen in 100 draws from a well-shuffled bridge deck( without replacement)<BR>\n" );
document.write( "C.) the number of cars found to have unsafe tires among the 400 cars stopped for inspection. Assume 6%  of all cars have one or more unsafe tires.<BR>\n" );
document.write( "D.) The number of melon seeds that germinate when a pack of 50 seeds is planted. The probability of germination is .88.\r<BR>\n" );
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document.write( "I know how to get to the binomalpdf on the calculator, i am just having trouble knowing what information to put in where. Any help would be greatly appreciated. Thank you!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #644378 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644378\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A.) The number of tails seen in 50 tosses of a quarter.<BR>\n" );
document.write( "If the quarter is unbiased, then the mean should be 50*0.5 = 25.  Variance should be 50*0.5*0.5 = 12.5, and hence standard deviation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2812.5%29+=+3.54 ALIGN=MIDDLE  ALT=\"sqrt%2812.5%29+=+3.54\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately.\r<BR>\n" );
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document.write( "B.) The number of aces seen in 100 draws from a well-shuffled bridge deck(without replacement).<BR>\n" );
document.write( "Assuming an infinite population (so that the non-replacement is immaterial), the mean is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A%281%2F13%29+=+100%2F13 ALIGN=MIDDLE  ALT=\"100%2A%281%2F13%29+=+100%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >, while the variance is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2A%281%2F13%29%2A%2812%2F13%29+=+1200%2F169 ALIGN=MIDDLE  ALT=\"100%2A%281%2F13%29%2A%2812%2F13%29+=+1200%2F169\"   DISABLED_style= \"max-width:90%; height:auto;\" >, hence the standard deviation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281200%2F169%29+=+%2820sqrt%283%29%29%2F13+=+2.66 ALIGN=MIDDLE  ALT=\"sqrt%281200%2F169%29+=+%2820sqrt%283%29%29%2F13+=+2.66\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately.\r<BR>\n" );
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document.write( "C.) The number of cars found to have unsafe tires among the 400 cars stopped for inspection. Assume 6% of all cars have one or more unsafe tires.<BR>\n" );
document.write( "Mean would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=400%2A0.06+=+24 ALIGN=MIDDLE  ALT=\"400%2A0.06+=+24\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and standard deviation is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28400%2A0.06%2A0.94%29+=+sqrt%2822.56%29+=+4.75 ALIGN=MIDDLE  ALT=\"sqrt%28400%2A0.06%2A0.94%29+=+sqrt%2822.56%29+=+4.75\"   DISABLED_style= \"max-width:90%; height:auto;\" > approximately.\r<BR>\n" );
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document.write( "D.)  I leave this up to you.\r<BR>\n" );
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