document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193130>Question 1193130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Samantha is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $1500 if she gets at least 16 questions right. The questions are multiple choice and the probability of her getting a question right is 0.85 on each question of the final exam. <BR>\n" );
document.write( "a) What is the probability that she gets exactly 16 questions right?<BR>\n" );
document.write( "b) What is the probability that she gets at least 16 questions right?<BR>\n" );
document.write( "c) What is the expected value of reward in dollars for her on this exam?  \r<BR>\n" );
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document.write( "Show steps, list all numbers the calculator gives in the answer, and do not round answers. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825192 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=825192\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a, it is 20C16*0.85^16*0.15^4=0.1821<BR>\n" );
document.write( "b. At least 16 is 16-20 with probability 0.8298 2d VARS to 1-binomcdf(20,0.85,15); the 1- means we want the right side of the distribution up to 15.<BR>\n" );
document.write( "c. $1500*0.8298=$1244.77<BR>\n" );
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