document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150331>Question 1150331</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that a patient is allergic to penicillin is .20.  If this drug is given to eight patients, find the probability that each of the following is true.  Round all answers to four decimal places.\r<BR>\n" );
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document.write( "a.  three of the eight are allergic.<BR>\n" );
document.write( "b.  none of the eight are allergic.<BR>\n" );
document.write( "c.  at least four are allergic.<BR>\n" );
document.write( "d.  between two and five of the eight are allergic. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771712 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=771712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "For each patient,<BR>\n" );
document.write( "P(allergic) = 0.20<BR>\n" );
document.write( "P(not allergic) = 0.80<br><BR>\n" );
document.write( "Then<br><BR>\n" );
document.write( "P(n of 8 are allergic) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%288%2Cn%29%29%2A%28%280.20%29%5En%29%2A%28%280.80%29%5E%288-n%29%29 ALIGN=MIDDLE  ALT=\"%28C%288%2Cn%29%29%2A%28%280.20%29%5En%29%2A%28%280.80%29%5E%288-n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Between the four questions that are asked, you need to calculate the probability that nearly any number of the eight are allergic.  So you might as well calculate all the probabilities and verify that their sum is 1; that will give you some reassurance that you have made all the calculations correctly.<br><BR>\n" );
document.write( "a. 3 of 8 allergic<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28C%288%2C3%29%29%2A%28%280.20%29%5E3%29%2A%28%280.80%29%5E%285%29%29+=+%2856%29%28.008%29%28.32768%29+=+0.14680064 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "You can do the others....<br><BR>\n" );
document.write( " </SPAN>\n" );
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