document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124184>Question 124184</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Appreciate your help in accomplishing this problem.  This is an instructor generated question and having problems understanding and getting started.\r<BR>\n" );
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document.write( "A basketball player makes free throw shots 80% of the time.  If the player attempts 10 free throw shots,<BR>\n" );
document.write( "a. What is the expected value (mean) of the number of free throw shots the player makes<BR>\n" );
document.write( "b. What is the standard deviation of the number of free throw shots the player makes?<BR>\n" );
document.write( "c. What is the probability that the player makes at least three shots?<BR>\n" );
document.write( "d. What is the probability that the player makes between 7 and 9 shots, inclusively?\r<BR>\n" );
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document.write( "Appreciate any assistance you can provide.  (I know we have to a table to assist with finding the solutions) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91033 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=91033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A basketball player makes free throw shots 80% of the time. If the player attempts 10 free throw shots,<BR>\n" );
document.write( "a. What is the expected value (mean) of the number of free throw shots the player makes<BR>\n" );
document.write( "Since he either makes or misses each shot this is a binomial problem.<BR>\n" );
document.write( "The mean for binomial is np<BR>\n" );
document.write( "Your answer is np = 20*0.8 = 16<BR>\n" );
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document.write( "b. What is the standard deviation of the number of free throw shots the player makes?<BR>\n" );
document.write( "The standard deviation is sqrt(npq) = sqrt(16*0.2) = 1.7888..<BR>\n" );
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document.write( "c. What is the probability that the player makes at least three shots?<BR>\n" );
document.write( "You have a chart and I have a TI-83 calculator.<BR>\n" );
document.write( "I get  1-binomcdf(20,0.8,2) is approximately 1.<BR>\n" );
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document.write( "d. What is the probability that the player makes between 7 and 9 shots, inclusively? <BR>\n" );
document.write( "I get binomcdf(20,0.8,9)-binomcdf(20,0.8,6)= 0.00056<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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