document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894310>Question 894310</A>: <I><SPAN STYLE=\"word-break: break-all;\"> About 77% of the nurses wear their uniform in a certain hospital. If four nurses are randomly selected, find the probability that at least one of the nurses does not wear a uniform.\r<BR>\n" );
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document.write( "I tried solving this problem by:\r<BR>\n" );
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document.write( "P(at least 1 out of 4 wears uniform) = 1 - P(no one wears uniform)<BR>\n" );
document.write( "P(at least 1 out of 4 wears uniform) = 1 - (0.23^4)<BR>\n" );
document.write( "P(at least 1 out of 4 wears uniform) = 1 - 0.00279841<BR>\n" );
document.write( "P(at least 1 out of 4 wears uniform) = 0.99720159 <BR>\n" );
document.write( "P(at least 1 out of 4 wears uniform) = 99.7%\r<BR>\n" );
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document.write( "AM I CORRECT? IF NOT, KINDLY IMPROVE MY SOLUTION. THANKS. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541921 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=541921\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe you are correct.<BR>\n" );
document.write( "p = .77 = probability that a nurse wears a uniform.<BR>\n" );
document.write( "q = 1 - .77 = .23 = probability that a nurse doesn't wear a uniform.<BR>\n" );
document.write( "p(at least 1 wears a uniform) is equal to 1 - p(none of them wears a uniform).<BR>\n" );
document.write( "the formula for p(x >= 1) is 1 - p(x = 0) = 1 - C(4,0) * .77^0 * .23^(4-0)<BR>\n" );
document.write( "this becomes 1 - 1 * 1 * .23^4 which becomes:<BR>\n" );
document.write( "1 - .23^4 which becomes:<BR>\n" );
document.write( "1 - .00279841 which becomes:<BR>\n" );
document.write( ".99720159 which becomes:<BR>\n" );
document.write( "99.7% if you are rounding to the nearest tenth of a percent.\r<BR>\n" );
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document.write( "your solution looks good.<BR>\n" );
document.write( "you did all the right steps.<BR>\n" );
document.write( "i get the same answer as you. </SPAN>\n" );
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