document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=913237>Question 913237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This is the question:\r<BR>\n" );
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document.write( "Over the past ten years, a high school Spanish teacher has been giving the same comprehensive final examination to all students in first-year Spanish. The mean of this examination is 78.4 and the standard deviation is 14.8. To pass the course, a student must score at least a 55. <BR>\n" );
document.write( "(a) What is the probability that a randomly selected student earns a score that is greater than the minimum passing score? Include a sketch of the normal curve for this.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #554373 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=554373\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=blue+%28x+-+78.4%29%2Fblue%2814.8%29 ALIGN=MIDDLE  ALT=\"z+=blue+%28x+-+78.4%29%2Fblue%2814.8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "re TY: <BR>\n" );
document.write( "P(x > 55) = normalcdf(-1.5811, 100)= .9431 is the straight forward approach (not using 1-P( x  &#8804;  55) <BR>\n" );
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document.write( "P( x> 55)= 1 - P( z < -23.4/14.8) = 1 - normalcdf(-100, -1.5811) = 1 - .0569 = .9431  0r 94.31%<BR>\n" );
document.write( "0r<BR>\n" );
document.write( "P(x > 55) = normalcdf(-1.5811, 100) is the straight forward approach:<BR>\n" );
document.write( ".........<BR>\n" );
document.write( "P( x> 55) Area to the Right of z = -1.5811<BR>\n" );
document.write( "the x-axis are z-scores from -5 to 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+graph%28400%2C200%2C-5%2C5%2C-.5%2C1.5%2C+0%2Cexp%28-x%5E2%2F2%29%29%2C+blue%28line%28+-1.5811%2C0%2C+-1.5811%2Cexp%28-1.5811%5E2%2F2%29%29%29%2Clocate%284.8%2C-.01%2Cz%29%2Clocate%284.8%2C.2%2Cz%29%2Clocate%28.4%2C-.02%2C.8%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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