document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172488>Question 1172488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At a certain gas station, 45% of the customers use regular unleaded gas, 30% use extra unleaded gas and 25% use premium unleaded gas. Of those customers using regular gas, only 35% fill their tanks. Of those customers using extra gas, 60% fill their tanks, whereas those using premium, 45% fill their tanks.\r<BR>\n" );
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document.write( "i)Draw a tree diagram to describe the above situation<BR>\n" );
document.write( "ii)What is the probability that the next customer will request premium unleaded gas and will not fill the tank?<BR>\n" );
document.write( "iii)What is the probability that the next customer fill the tank?<BR>\n" );
document.write( "iv)Given  that  the  next  customer  fills  the tank.  What  is  the  probability  that extra gas is requested?\r<BR>\n" );
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document.write( "I really appreciate your help to solve my problems<BR>\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797551 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Previously Posted<BR>\n" );
document.write( "RE <BR>\n" );
document.write( "type                REG      EXTRA      PREMIUM<BR>\n" );
document.write( " %                  .45        .30        .25<BR>\n" );
document.write( "%fill/not fill    .35 .65    .60 .40   .45  .55<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\"><font face = \"consolas\" color = \"indigo\" size = 4><b><BR>\n" );
document.write( "Hi  <BR>\n" );
document.write( "ii)What is the probability that the next customer will request premium unleaded gas and will not fill the tank? <BR>\n" );
document.write( "P(Independent Events) = the product of the individual probabilities.<BR>\n" );
document.write( "P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+.25%28.55%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+.25%28.55%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "iii)What is the probability that the next customer fill the tank?<BR>\n" );
document.write( "mutually exclusive: <BR>\n" );
document.write( "P(A or B or C ) = P(A) + P(B) + p(C)<BR>\n" );
document.write( "P = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28.45%28.35%29+%2B+.30%28.60%29+%2B+.25%2840%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28.45%28.35%29+%2B+.30%28.60%29+%2B+.25%2840%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "iv)Given  that  the  next  customer  fills  the tank.  <BR>\n" );
document.write( "What  is  the  probability  that it is extra gas <BR>\n" );
document.write( "P(A|B) = P(A and B)/P(B) Bayes Theorem<BR>\n" );
document.write( "P(extra|fills tank) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+.30%28.60%29%2F%28.45%28.35%29+%2B+.30%28.60%29+%2B+.25%2840%29%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+.30%28.60%29%2F%28.45%28.35%29+%2B+.30%28.60%29+%2B+.25%2840%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Wish You the Best in your Studies. </SPAN>\n" );
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