document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208488>Question 1208488</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm struggling with the part b of this question and will very greatly appreciate it if someone can help me with this answer . <BR>\n" );
document.write( "The pressure monitoring systems (TPMS)warns drivers when tire pressure is 26% below target pressure. The target tire pressure of a certain car is 28 psi.\r<BR>\n" );
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document.write( "Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 3 psi, if the car's average tire pressure is on target , what is the probability that the TPMS will trigger a warning ? <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 #846930 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=846930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Answer: <font color=red>0.00755</font> (approximate)\r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "(1-0.26)*28 = 20.72 psi or smaller would be when the warning is signaled.\r<BR>\n" );
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document.write( "Compute the z score<BR>\n" );
document.write( "z = (x-mu)/sigma<BR>\n" );
document.write( "z = (20.72-28)/3<BR>\n" );
document.write( "z = -2.426667 approximately<BR>\n" );
document.write( "z = -2.43<BR>\n" );
document.write( "Then use a Z table in the back section of your textbook. <BR>\n" );
document.write( "If you don't have your textbook with you, then you can use a website like <a  rel=nofollow HREF=\"https://www.ztable.net/\">this one</a>\r<BR>\n" );
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document.write( "Locate the row that starts with -2.4<BR>\n" );
document.write( "Highlight the column that has 0.03 at the top.<BR>\n" );
document.write( "The value 0.00755 is in this row and column. <BR>\n" );
document.write( "This value is approximate.<BR>\n" );
document.write( "We can say that P(Z < -2.43) = <font color=red>0.00755</font> which is the approximate final answer in decimal form.\r<BR>\n" );
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document.write( "There's roughly a 0.755% chance that the TPMS will trigger a warning.\r<BR>\n" );
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document.write( "If you want to use technology, then you have a variety of options. <ul><li>Search online for a specialized normalCDF calculator. There are many to choose from. <a  rel=nofollow HREF=\"https://onlinestatbook.com/2/calculators/normal_dist.html\">This one</a> is my favorite because it's very user friendly and draws a diagram. The only drawback is that it doesn't appear to have any option to set the rounding precision.  </li><li>Use the <a  rel=nofollow HREF=\"https://www.statisticshowto.com/ti-83-normalcdf/\">NormalCDF</a> function on a TI83 or similar.</li><li>Use the <a  rel=nofollow HREF=\"https://support.google.com/docs/answer/3094021?hl=en\">NormDist</a> function in a spreadsheet.</li><li>Use the <a  rel=nofollow HREF=\"https://geogebra.github.io/docs/manual/en/commands/Normal/?redirect=en\">Normal</a> command in GeoGebra.</li><li>There are many other apps that you can use as well (eg: WolframAlpha, Mathematica, StatDisk, etc).</li></ul><BR>\n" );
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