document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168409>Question 1168409</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 73% of all Americans live in cities with population greater than 100,000 people. If 35 Americans are randomly selected, find the probability that\r<BR>\n" );
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document.write( "a. Exactly 26 of them live in cities with population greater than 100,000 people. \r<BR>\n" );
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document.write( "b. At most 26 of them live in cities with population greater than 100,000 people. \r<BR>\n" );
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document.write( "c. At least 25 of them live in cities with population greater than 100,000 people. \r<BR>\n" );
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document.write( "d. Between 21 and 25 (including 21 and 25) of them live in cities with population greater than 100,000 people. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852004 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "73% of all Americans live in cities with population greater than 100,000 people. <BR>\n" );
document.write( "If 35 Americans are randomly selected, find the probability that<BR>\n" );
document.write( "a. Exactly 26 of them live in cities with population greater than 100,000 people.<BR>\n" );
document.write( "b. At most 26 of them live in cities with population greater than 100,000 people.<BR>\n" );
document.write( "c. At least 25 of them live in cities with population greater than 100,000 people.<BR>\n" );
document.write( "d. Between 21 and 25 (including 21 and 25) of them live in cities with population greater than 100,000 people.<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;As it regularly happens with &nbsp;@CPhill' solutions on &nbsp;Binomial distribution,\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;all calculations &nbsp;(a), &nbsp;(b), &nbsp;(c) &nbsp;and &nbsp;(d) &nbsp;in the post by @CPhill are incorrect.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to bring correct answers.\r<BR>\n" );
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document.write( "(a) &nbsp;&nbsp;P(X = 26) = 0.1505\r<BR>\n" );
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document.write( "(b) &nbsp;&nbsp;P(X <= 26) = 0.6311\r<BR>\n" );
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document.write( "(c) &nbsp;&nbsp;P(X >= 25) = 0.6641\r<BR>\n" );
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document.write( "(d) &nbsp;&nbsp;P(21 <= X <= 25) = P(X <= 25) - P(X <= 20) = 0.4806 - 0.0311 = 0.4495.<BR>\n" );
document.write( "</pre>\r<BR>\n" );
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document.write( "To check your/my calculations, &nbsp;use online calculator \r<BR>\n" );
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document.write( "https://stattrek.com/online-calculator/binomial\r<BR>\n" );
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document.write( " </SPAN>\n" );
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