document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855229>Question 855229</A>: <I><SPAN STYLE=\"word-break: break-all;\"> according to a may 2013 gallup poll, 53% of americans support the legalization of same sex marriage. \r<BR>\n" );
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document.write( "b. if a random sample of 10 americans is found, how many people would we expect to support the legalization of same sex marriage \r<BR>\n" );
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document.write( "c. what would the standard deviation of this 10 person distribution be \r<BR>\n" );
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document.write( "d. if we would randomly sample 10 people, what is the probability that exactly 6 would support the legalization of same sex marriage.\r<BR>\n" );
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document.write( "e if we would randomly sample 10 people, what is the probability less than 6 would support the legalization of same sex marriage.\r<BR>\n" );
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document.write( "f. if we secure a simple randome sample of 250 americans, what is the probability that less than 120 would support the legalization of same sex marriage </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515161 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=515161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> according to a may 2013 gallup poll, 53% of americans support the legalization of same sex marriage. <BR>\n" );
document.write( "b. if a random sample of 10 americans is found, how many people would we expect to support the legalization of same sex marriage<BR>\n" );
document.write( "E(x) = np = 10*0.53 = 5.3<BR>\n" );
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document.write( "c. what would the standard deviation of this 10 person distribution be<BR>\n" );
document.write( "std = sqrt(npq) = sqrt(5.3*0.47) = 1.58<BR>\n" );
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document.write( "d. if we would randomly sample 10 people, what is the probability that exactly 6 would support the legalization of same sex marriage.<BR>\n" );
document.write( "P(x = 6) = 10C6(0.53)^6(0.47)^4 = binompdf(10,0.53,6) = 0.2271<BR>\n" );
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document.write( "e if we would randomly sample 10 people, what is the probability less than 6 would support the legalization of same sex marriage. <BR>\n" );
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document.write( "P(0<= x <=5) = binomcdf(10,0.53,5) = 0.5474<BR>\n" );
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document.write( "f. if we secure a simple randome sample of 250 americans, what is the probability that less than 120 would support the legalization of same sex marriage\r<BR>\n" );
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document.write( "P(x < 120) = binomcdf(250,0.53,119) = 0.0499<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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