document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=203204>Question 203204</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A corporate executive officer is attempting to arrange a meeting of his three presidents for tomorrow morning.  He believes that each of these three busy individuals, independently has a 60% chance of being able to attend the meeting:<BR>\n" );
document.write( "a.	Find the probability distribution of x, the number of vice presidents who can attend the meeting<BR>\n" );
document.write( "b.	What is the probability that none of the three vice presidents can attend the meeting?<BR>\n" );
document.write( "c.	If the meeting will be held tomorrow morning only if everyone can attend, what is the probability that the meeting will take place at this time?<BR>\n" );
document.write( "d.	How many of the vice presidents should the CEO expect to be available for tomorrow morning’s meeting?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #153402 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=153402\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A corporate executive officer is attempting to arrange a meeting of his three presidents for tomorrow morning. He believes that each of these three busy individuals, independently has a 60% chance of being able to attend the meeting:<BR>\n" );
document.write( "a. Find the probability distribution of x, the number of vice presidents who can attend the meeting<BR>\n" );
document.write( "It's binomial with n=3 and p=0.6<BR>\n" );
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document.write( "b. What is the probability that none of the three vice presidents can attend the meeting?<BR>\n" );
document.write( "P(x=0) = (0.4)^3<BR>\n" );
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document.write( "c. If the meeting will be held tomorrow morning only if everyone can attend, what is the probability that the meeting will take place at this time?<BR>\n" );
document.write( "P(x=3) = (0.6)^3 <BR>\n" );
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document.write( "d. How many of the vice presidents should the CEO expect to be available for tomorrow morning’s meeting?<BR>\n" );
document.write( "E(x) = 0*P(x=0) + 1*P(x=1) + 2*P(x=2) + 3*P(x=3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );