document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=927102>Question 927102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a) It is noted that 8% of students are left handed. If 20 students are randomly selected, calculate the\r<BR>\n" );
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document.write( "i. probability that none of them are left-handed,<BR>\n" );
document.write( "ii. probability that at most 2 are left-handed,<BR>\n" );
document.write( "iii. mean and standard deviation for the number of left-handed students.\r<BR>\n" );
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document.write( "b) Do you agree that \"if two events are mutually exclusive then these two events will be independent\"? Why?<BR>\n" );
document.write( "Provide one business-related example each, with explanation, for mutually exclusive and independent events. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #562780 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=562780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> p(left-handed) = .08, p (not left-handed) = .92, n = 20<BR>\n" );
document.write( "P(x = 0LH) = .92^20<BR>\n" );
document.write( "P(x &#8804; 2LH) = binomcdf(20, .08, 2) = .7879 0r 78.79%<BR>\n" );
document.write( "mean = .08(20) = 1.6 .s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28.08%2A.92%2A20%29 ALIGN=MIDDLE  ALT=\"sqrt%28.08%2A.92%2A20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1.2133<BR>\n" );
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document.write( "Mutually Exclusive Events  cannot occur at the same time.  <BR>\n" );
document.write( "events are independent if the occurrence of one does not affect the other<BR>\n" );
document.write( "If two events are mutually exclusive, they cannot be independent and vice versa<BR>\n" );
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document.write( "Mutually Exclusive: buy or not buy<BR>\n" );
document.write( "Independent Events: Male Employees: 25 years old & Female Employees: 25 years old<BR>\n" );
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