document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947929>Question 947929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> It is found that when a particular 4-sided die is rolled a 1 occurs 24.2% of the time, a 2 occurs 26.3% of the time, a 3 occurs 27.1% of the time, and a 4 occurs 22.4% of the time.<BR>\n" );
document.write( "a.) If the die is rolled 32 times, what is the probability that an even number occurs exactly 16 times?<BR>\n" );
document.write( "b.)What is the expected value of a single roll of the die? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578519 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=578519\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is found that when a particular 4-sided die is rolled a 1 occurs 24.2% of the time, a 2 occurs 26.3% of the time, a 3 occurs 27.1% of the time, and a 4 occurs 22.4% of the time.<BR>\n" );
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document.write( "P(even) = 26.3%+22.4% = 48.7%<BR>\n" );
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document.write( " a.) If the die is rolled 32 times, what is the probability that an even number occurs exactly 16 times?<BR>\n" );
document.write( "Ans: P(x = 16) = 32C16*(0.487^16)*(0.513^16) = binompdf(32,0.487,16) = 0.1384<BR>\n" );
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document.write( " b.)What is the expected value of a single roll of the die?<BR>\n" );
document.write( "E(x) = 0.242*1 + 0.263*2 + 3*0.271*3 + 4*0.224 = 2.477<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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