document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1168871>Question 1168871</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading between -2.19°C and -0.419°C.\r<BR>\n" );
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document.write( "P(-2.19 < Z < -0.419) = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #793544 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=793544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> mean = 0 degrees centigrade<BR>\n" );
document.write( "standard deviation is 1 degree centigrade.\r<BR>\n" );
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document.write( "probabilit y of obtaining a reading between -2.19 degrees centigrade and -.419 degrees centigrade is ?????\r<BR>\n" );
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document.write( "use the following calculator.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://stattrek.com/online-calculator/normal.aspx\" target = \"_blank\">https://stattrek.com/online-calculator/normal.aspx</a>\r<BR>\n" );
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document.write( "this calculator works similar to the tables, i.e. it just gives you the area to the left of the z-score or x-score and you have to figure out the rest, i.e. like finding the area to the right of the z-score by finding the area to the left of the z-score and then subtracting it from 1.\r<BR>\n" );
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document.write( "for the low score, set p(x<X) to -2.19.<BR>\n" );
document.write( "calculator says probability is .014.\r<BR>\n" );
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document.write( "the the high score, set p(x<X) to -.419<BR>\n" );
document.write( "calculate says probability is 0.338\r<BR>\n" );
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document.write( "subtract the smaller area from the larger area to get:<BR>\n" );
document.write( "area between -2.19 and -.419 = .338 minus .014 = .324\r<BR>\n" );
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document.write( "visually, this looks like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/110303.jpg\" >\r<BR>\n" );
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document.write( "the different values you see are due to rounding differences between the calculators used.\r<BR>\n" );
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document.write( "the calculator that gave you the visual display can be found at:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">http://davidmlane.com/hyperstat/z_table.html</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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