document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186529>Question 1186529</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Once each school week there is a late-start day for students. After studying your attendance records your math teacher says: “On late-start days, you are tardy to first hour about 20% of the time. I’ve also noticed the events ‘It is a late-start day’ and ‘You are tardy to first hour’ are independent.”\r<BR>\n" );
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document.write( "A. Explain what it means to be independent events.\r<BR>\n" );
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document.write( "B. Then, explain what your teacher meant in terms of relationship between ‘It is a late-start school day’ and the probability of you being tardy to first hour. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #849434 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=849434\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **A. Independent Events:**\r<BR>\n" );
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document.write( "Two events are considered independent if the occurrence of one event does *not* affect the probability of the other event occurring.  In simpler terms, knowing that one event has happened gives you no information about whether the other event will happen.\r<BR>\n" );
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document.write( "**B. Teacher's Meaning:**\r<BR>\n" );
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document.write( "Your teacher's statement means that whether or not it's a late-start day has *no impact* on the probability of you being tardy to first hour.  Even though late-start days exist, they don't make you any more or less likely to be tardy.  You're tardy about 20% of the time *regardless* of whether it's a late-start day or a regular start day.  The fact that it's a late-start day is irrelevant to your tardiness.<BR>\n" );
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