document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1205803>Question 1205803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> according to a study conducted approximately 55% of all hospitals in a given town contained 100 or more beds. A researcher draws a sample of 15 hospitals by randomly selecting names from a directory of hospitals. <BR>\n" );
document.write( "A.What is the probability of selecting 10 or more hospitals that have 100 or more beds? <BR>\n" );
document.write( "B.What is the probability of selecting less than five hospitals that have 100 or more beds?<BR>\n" );
document.write( "C.What is the probability of selecting from six to ten hospitals, inclusive, that have 100 or more beds?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #842875 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=842875\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this looks like a binomial probability distribution type of problem.\r<BR>\n" );
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document.write( "the formula is p(x) = p^x * q^(n-x) * c(n,x).\r<BR>\n" );
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document.write( "n is 15<BR>\n" );
document.write( "x is from 0 to 15<BR>\n" );
document.write( "p = .55<BR>\n" );
document.write( "q = (1-.55)<BR>\n" );
document.write( "c(n,x) = n! / (x! * (n-x)!\r<BR>\n" );
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document.write( "probabilities are shown in the excel printout below:\r<BR>\n" );
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document.write( "the sum of all probabilities is p(x) from 0 to 15 and is equal to 1, as it should be.\r<BR>\n" );
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document.write( "answers to your questions are:\r<BR>\n" );
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document.write( "A. What is the probability of selecting 10 or more hospitals that have 100 or more beds?\r<BR>\n" );
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document.write( "p(10 or more) = sum p(x) for x = 10 to 15 = 0.260759769\r<BR>\n" );
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document.write( "B. What is the probability of selecting less than five hospitals that have 100 or more beds?\r<BR>\n" );
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document.write( "p(less than 5) = sum p(x) for x = 0 to 4 = 0.025465853\r<BR>\n" );
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document.write( "C. What is the probability of selecting from six to ten hospitals, inclusive, that have 100 or more beds?\r<BR>\n" );
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document.write( "p(6 to 10) = sum(p(x) for x = 6 to 10 = 0.802671982\r<BR>\n" );
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