document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204317>Question 1204317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the indicated probability assuming that x is a random variable with a normal distribution with the given mean and standard deviation. (Round your answer to four decimal places.)<BR>\n" );
document.write( "P(41 ≤ x ≤ 116), 𝜇 = 10, 𝜎 = 50<BR>\n" );
document.write( "0.6715<BR>\n" );
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document.write( "Incorrect: Your answer is incorrect. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #840492 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=840492\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Answer:  <font color=red size=4>0.2506</font>\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "As one method, you can use a table similar to what is described in this previous question<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1204309.html\">https://www.algebra.com/algebra/homework/Probability-and-statistics/Probability-and-statistics.faq.question.1204309.html</a><BR>\n" );
document.write( "But you'll need to convert each raw score to a z score.<BR>\n" );
document.write( "Use the formula:  z = (x - mu)/sigma\r<BR>\n" );
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document.write( "Or you can use a TI83/TI84<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://www.statology.org/normal-probabilities-ti-84-calculator/\">https://www.statology.org/normal-probabilities-ti-84-calculator/</a><BR>\n" );
document.write( "The input would be <font color=blue>normalCDF(41,116,10,50)</font><BR>\n" );
document.write( "The template in general is <font color=blue>normalCDF(lower,upper,mean,standard deviation)</font>\r<BR>\n" );
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document.write( "The result of that calculation is approximately 0.2506258718 which rounds to <font color=red>0.2506</font>\r<BR>\n" );
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document.write( "Or you can use this stats calculator that provides a diagram<BR>\n" );
document.write( "<a  rel=nofollow HREF=\"https://davidmlane.com/normal.html\">https://davidmlane.com/normal.html</a><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=math_tutor2020&illustration_name=Screenshot_326.png\"><BR>\n" );
document.write( "If you use WolframAlpha, be careful that the diagram shown on WolframAlpha is not correct. The normal distribution curve should be entirely above the x axis. Refer to the first link for a comparison of what I mean. <BR>\n" );
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