document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=857133>Question 857133</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a survey report states that 42% of adults visit their doctor regularly. Suppose that 10 adults are selected at random.\r<BR>\n" );
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document.write( "a) what is the probability that exactly 9 adults visit their doctor regularly in such group?\r<BR>\n" );
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document.write( "b) find the mean  and standard deviation for the number of adults that visit their doctor regularly in such group of 10 adults.\r<BR>\n" );
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document.write( "c) Is it unusual to have 9 or more adults that visit their doctor regularly in such group of 10 adults? explain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #516388 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=516388\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A survey report states that 42% of adults visit their doctor regularly. Suppose that 10 adults are selected at random. \r<BR>\n" );
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document.write( "a) what is the probability that exactly 9 adults visit their doctor regularly in such group? \r<BR>\n" );
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document.write( "probability = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C10%2C9%29%29%280.42%5E9%29%280.58%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C10%2C9%29%29%280.42%5E9%29%280.58%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.0024%29 ALIGN=MIDDLE  ALT=\"highlight%280.0024%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b) find the mean and standard deviation for the number of adults that visit their doctor regularly in such group of 10 adults. <BR>\n" );
document.write( "mean = np = 10(0.42) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%284.2%29 ALIGN=MIDDLE  ALT=\"highlight%284.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "standard deviation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28npq%29 ALIGN=MIDDLE  ALT=\"sqrt%28npq%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2810%2A0.42%2A%281-0.42%29%29 ALIGN=MIDDLE  ALT=\"sqrt%2810%2A0.42%2A%281-0.42%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%281.5608%29 ALIGN=MIDDLE  ALT=\"highlight%281.5608%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c) Is it unusual to have 9 or more adults that visit their doctor regularly in such group of 10 adults? explain\r<BR>\n" );
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document.write( "P(X &#8805; 9) =  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C10%2C9%29%29%280.42%5E9%29%280.58%5E1%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C10%2C9%29%29%280.42%5E9%29%280.58%5E1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > +  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28matrix%282%2C1%2C10%2C10%29%29%280.42%5E10%29%280.58%5E0%29 ALIGN=MIDDLE  ALT=\"%28matrix%282%2C1%2C10%2C10%29%29%280.42%5E10%29%280.58%5E0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%280.0025%29 ALIGN=MIDDLE  ALT=\"highlight%280.0025%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It is unusual because the probability is less than 0.05.<BR>\n" );
document.write( " </SPAN>\n" );
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