document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=394620>Question 394620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4.Under good weather conditions, 80% of flights arrive on time. During bad weather, only 30% of flights arrive on time. Tomorrow, the chance of good weather is 60%. What is the probability that your flight will arrive on time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #279977 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=279977\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> P(on time|good weather) = 0.80<BR>\n" );
document.write( "P(on time|bad weather) = 0.30\r<BR>\n" );
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document.write( "P(good weather) = 0.60 ==> P(bad weather) = 0.40\r<BR>\n" );
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document.write( "Then <BR>\n" );
document.write( "P(on time) = P(on time AND good weather) + P(on time AND bad weather)<BR>\n" );
document.write( "=P(on time|good weather)*P(good weather) + P(on time|bad weather) * P(bad weather)<BR>\n" );
document.write( "=0.80*0.60 + 0.30*0.40 = 0.60, the probability that your flight will arrive on time. </SPAN>\n" );
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