document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=513151>Question 513151</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Shaq is in a free throw shooting competition where he shoots exactly 20 free throws and tries to make as many as he can. The probability he makes a free throw is a constant value of 0.45. Assume his shots are independent of each other. \r<BR>\n" );
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document.write( "a. What is the expected number of free throws Shaq will make?<BR>\n" );
document.write( "     I did 20X0.45= 9    9 expected throws. <BR>\n" );
document.write( "b. What is the mode number of free throws Shaq will make?<BR>\n" );
document.write( "     This is the question I am most confused on. I am not sure how to create the data I need to find the mode.<BR>\n" );
document.write( "c. What is the probability Shaq makes exactly 6 free throws?<BR>\n" );
document.write( "     For this I used the formula      <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+nCr+p%5Er%281-p%29%5E%28n-r%29 ALIGN=MIDDLE  ALT=\"+nCr+p%5Er%281-p%29%5E%28n-r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  and got: P(x=6)= .074<BR>\n" );
document.write( "d. What is the probability Shaq makes not less than 12 free throws?<BR>\n" );
document.write( "     I think this is a typo on my teachers part, and I will ask and get back to you. \r<BR>\n" );
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document.write( "Thanks in advance guys!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #342897 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=342897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Shaq is in a free throw shooting competition where he shoots exactly 20 free throws and tries to make as many as he can. The probability he makes a free throw is a constant value of 0.45. Assume his shots are independent of each other. <BR>\n" );
document.write( "a. What is the expected number of free throws Shaq will make?<BR>\n" );
document.write( "E(x) = np = 20X0.45= 9 expected throws.<BR>\n" );
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document.write( "b. What is the mode number of free throws Shaq will make?<BR>\n" );
document.write( "This is the question I am most confused on. I am not sure how to create the data I need to find the mode.<BR>\n" );
document.write( "Comment: There is no way to calculate the mode.<BR>\n" );
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document.write( "c. What is the probability Shaq makes exactly 6 free throws?<BR>\n" );
document.write( "For this I used the formula 20C6(0.45)^6*(0.55)^14 = P(x=6)= .0746<BR>\n" );
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document.write( "d. What is the probability Shaq makes not less than 12 free throws?<BR>\n" );
document.write( "P(12 <= x <=20) = 1 - P(0<= x <=11) = 1- binomcdf(20,0.45,11) = 0.1308<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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