document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31005>Question 31005</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The IT department runs 3 redundant computer servers concurrently.  For each server there is a 14% chance of crashing in a given day.  Assume that a server crashing is independent from any other server crashing.  \r<BR>\n" );
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document.write( "a) What is the probability that none of the 3 servers will crash for 7 consecutive days.\r<BR>\n" );
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document.write( "b) What is the probability that at least one server will crash in a seven day period?\r<BR>\n" );
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document.write( "c) What is the probability of a full network outage (all three servers going) in a given day?\r<BR>\n" );
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document.write( "I don't even know where to start with this question. Every time I try something the answer seems ridiculous.  Any help would be appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17738 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17738\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The IT department runs 3 redundant computer servers concurrently. For each server there is a 14% chance of crashing in a given day. Assume that a server crashing is independent from any other server crashing. <BR>\n" );
document.write( "a) What is the probability that none of the 3 servers will crash for 7 consecutive days. <BR>\n" );
document.write( "P WORKING FOR 1 SERVER =(100-14)%=86%=0.86<BR>\n" );
document.write( "IT IS SAME FOR OTHER 2 SERVERS AND THEY ARE ALL INDEPENDENT.HENCE PROBABILITY THAT ALL 3 WORK ON A DAY =0.86^3=0.636<BR>\n" );
document.write( "IT IS SAME FOR EVERY DAY IN A WEEK.HENCE FOR 7 DAYS PROBABILITY OF ALL WORKING =<BR>\n" );
document.write( "{(0.86^3)}^7=0.86^21=0.042\r<BR>\n" );
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document.write( "b) What is the probability that at least one server will crash in a seven day period? <BR>\n" );
document.write( "PROBABILITY THAYT AT LEAST 1 WILL FAIL =1-NONE WILL FAIL =1-0.042=0.958<BR>\n" );
document.write( "c) What is the probability of a full network outage (all three servers going) in a given day? <BR>\n" );
document.write( "IT IS 0.14*0.14*0.14=0.002744<BR>\n" );
document.write( "I don't even know where to start with this question. Every time I try something the answer seems ridiculous. Any help would be appreciated.<BR>\n" );
document.write( "You may edit the question. Maybe convert formulae to  </SPAN>\n" );
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