document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164008>Question 1164008</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Goodnight please help with these questions,<BR>\n" );
document.write( " Fidelity records the number of X-Trails sold each day. This data is used in calculating the following probability distribution of daily sales:<BR>\n" );
document.write( "x P(x)<BR>\n" );
document.write( "0 0.1<BR>\n" );
document.write( "1 0.1<BR>\n" );
document.write( "2 0.2<BR>\n" );
document.write( "3 0.2<BR>\n" );
document.write( "4 0.3<BR>\n" );
document.write( "5 0.1<BR>\n" );
document.write( "a. Verify that this [P(x)] is a probability distribution<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 #788292 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The sum of all probabilities for all possible values must equal 1. Furthermore, the probability for a particular value or range of values must be between 0 and 1.\r<BR>\n" );
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document.write( "Since your example has probabilities that are all between zero and one, then it is a probability distribution function if <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sum_{i=0}^5\,P(x_i)\ =\ 1\">\r<BR>\n" );
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document.write( "																<BR>\n" );
document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );