document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1116664>Question 1116664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a given year,  24% of the people in a community use the emergency room at the local hospital. <BR>\n" );
document.write( "A random sample of  26 people is selected.   <BR>\n" );
document.write( "A researcher wishes to know the probability that a fixed number of individuals in the sample will have used the emergeny room in the last year. \r<BR>\n" );
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document.write( "     a)   Explain why this situation will involve a binomial probability distribution. \r<BR>\n" );
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document.write( "     b)  Find the probability that in a sample of 26, exactly 9 people used the emergency room.\r<BR>\n" );
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document.write( "     c)  Find the probability that in a sample of 26,  9 or fewer people used the emergency room. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #731579 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=731579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In a given year, 24% of the people in a community use the emergency room at the local hospital. <BR>\n" );
document.write( "A random sample of 26 people is selected. <BR>\n" );
document.write( "A researcher wishes to know the probability that a fixed number of individuals in the sample will have used the emergeny room in the last year. <BR>\n" );
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document.write( "a) Explain why this situation will involve a binomial probability distribution. <BR>\n" );
document.write( "An \"event\" is the selection of a person.<BR>\n" );
document.write( "The event results are independent.<BR>\n" );
document.write( "Prob of \"success\" for each event is the same,0.24<BR>\n" );
document.write( "Each event is either a success or a failure.<BR>\n" );
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document.write( "b) Find the probability that in a sample of 26, exactly 9 people used the emergency room.<BR>\n" );
document.write( "P(x = 9) = 26C9*0.24^9*0.76^17 = binompdf(26,0.24,9) = 0.0777 <BR>\n" );
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document.write( "c) Find the probability that in a sample of 26, 9 or fewer people used the emergency room. <BR>\n" );
document.write( "P(0<= x <=9) = binomcdf(26,0.24,9) = 0.9279<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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