document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=615228>Question 615228</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have problems figuring out 3 questions\r<BR>\n" );
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document.write( "1) Assume that a procedure yields a binomial distribution with a trial repeated n=5 times. Find the probability of x= 2 successes given that the probability p=0.75 of successes on a single trial. \r<BR>\n" );
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document.write( "2) Assume that adults have IQ scores that are normally distributed with a mean of 102 and a standard deviation of 12. Find the IQ score that separates the bottom 25% from the top 75%\r<BR>\n" );
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document.write( "3) Heights of adult men are normally distributed with a mean of 69 inches and standard deviation of 2.8 inches. If an adult man is randomly selected, what is the probability that he is taller than 73.2 inches </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #387069 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=387069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) Assume that a procedure yields a binomial distribution with a trial repeated n=5 times. Find the probability of x= 2 successes given that the probability p=0.75 of successes on a single trial.<BR>\n" );
document.write( "Ans: P(x = 2) = 5C2*0.75^2*0.25*3 = binompdf(5,0.75,2) = 0.0879<BR>\n" );
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document.write( "2) Assume that adults have IQ scores that are normally distributed with a mean of 102 and a standard deviation of 12. Find the IQ score that separates the bottom 25% from the top 75%<BR>\n" );
document.write( "Find the z-score with a left tail of 0.25<BR>\n" );
document.write( "invNorm(0.25) = -0.6745<BR>\n" );
document.write( "Find the corresponding \"IQ\" value using IQ = z*s + u<BR>\n" );
document.write( "IQ = -0.6745*12+102 = 93.9<BR>\n" );
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document.write( "3) Heights of adult men are normally distributed with a mean of 69 inches and standard deviation of 2.8 inches. If an adult man is randomly selected, what is the probability that he is taller than 73.2 inches<BR>\n" );
document.write( "z(73.2) = (73.2-69)/2 = 4.2/2 = 2.1<BR>\n" );
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document.write( "P(x > 73.2) = P(z > 2.1) = normalcdf(2.1,100) = 0.0179<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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