document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193990>Question 1193990</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.	Two students are randomly selected from a statistics class, and it is observed whether or not they suffer from math anxiety. How many total outcomes are possible? <BR>\n" );
document.write( "a.	Draw a tree diagram for this experiment. <BR>\n" );
document.write( "b.	Draw a Venn diagram. <BR>\n" );
document.write( "c.	List all the outcomes included in each of the following events. Indicate which are simple and which are compound events.<BR>\n" );
document.write( "i.	Both students suffer from math anxiety.<BR>\n" );
document.write( "ii.	Exactly one student suffers from math anxiety.<BR>\n" );
document.write( "iii.	The first student does not suffer and the second suffers from math anxiety.<BR>\n" );
document.write( "iv.	None of the students suffers from math anxiety.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848536 by </B><A HREF=/tutors/aboutme.mpl?userid=parmen><B>parmen(42)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=parmen><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=848536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> **1. Total Outcomes**\r<BR>\n" );
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document.write( "* Each student can have two possible outcomes: <BR>\n" );
document.write( "    * S: Suffers from math anxiety<BR>\n" );
document.write( "    * N: Does not suffer from math anxiety\r<BR>\n" );
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document.write( "* For two students, the total number of possible outcomes is 2 * 2 = 4.\r<BR>\n" );
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document.write( "**a. Tree Diagram**\r<BR>\n" );
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document.write( "```<BR>\n" );
document.write( "   Start<BR>\n" );
document.write( "   /   \<BR>\n" );
document.write( "  S     N <BR>\n" );
document.write( " / \   / \<BR>\n" );
document.write( "S   N S   N <BR>\n" );
document.write( "```\r<BR>\n" );
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document.write( "* The tree diagram visually represents the possible outcomes for each student and their combinations.\r<BR>\n" );
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document.write( "**b. Venn Diagram**\r<BR>\n" );
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document.write( "* Create two overlapping circles. <BR>\n" );
document.write( "* One circle represents the first student, the other represents the second student.<BR>\n" );
document.write( "* Within each circle, divide it into two sections: S (suffers) and N (does not suffer).<BR>\n" );
document.write( "* The overlapping region represents the outcome where both students suffer from math anxiety.\r<BR>\n" );
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document.write( "**c. List of Outcomes**\r<BR>\n" );
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document.write( "* **i. Both students suffer from math anxiety:** {SS} (Simple event)<BR>\n" );
document.write( "* **ii. Exactly one student suffers from math anxiety:** {SN, NS} (Compound event)<BR>\n" );
document.write( "* **iii. The first student does not suffer and the second suffers from math anxiety:** {NS} (Simple event)<BR>\n" );
document.write( "* **iv. None of the students suffers from math anxiety:** {NN} (Simple event)\r<BR>\n" );
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document.write( "**Note:**\r<BR>\n" );
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document.write( "* **Simple Event:** An event that consists of a single outcome.<BR>\n" );
document.write( "* **Compound Event:** An event that consists of two or more simple events.\r<BR>\n" );
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document.write( "Let me know if you'd like to explore any of these concepts further!<BR>\n" );
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