document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181080>Question 1181080</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The lifespan of tires is normally distributed with a mean of 30,000 miles and a standard deviation of 2,000 miles. \r<BR>\n" );
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document.write( "a) What is the probability that a tire's lifespan is between 30,000 and 32,000 miles? \r<BR>\n" );
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document.write( "b) What is the most number of miles that the bottom 10% of tires last? \r<BR>\n" );
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document.write( "c) What is the least number of miles that the top 5% of tires last? \r<BR>\n" );
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document.write( "d) Would it be unusual for a tire to last 35,000 miles? (Y/N </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #810935 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=810935\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> these questions can be answered with the use of the following normal distribution calculator.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"https://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">https://davidmlane.com/hyperstat/z_table.html</a><BR>\n" );
document.write( "the mean is 30,000 and the standard deviation is 2000.\r<BR>\n" );
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document.write( "answers to each question are shown below:\r<BR>\n" );
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document.write( "a) What is the probability that a tire's lifespan is between 30,000 and 32,000 miles?\r<BR>\n" );
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document.write( "probability between 30,000 and 32,000 miles is .3413.\r<BR>\n" );
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document.write( "here's a display of the calculator results.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/052801.jpg\">\r<BR>\n" );
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document.write( "b) What is the most number of miles that the bottom 10% of tires last?\r<BR>\n" );
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document.write( "most number of miles and still in the bottom 10% is equal to 27436.897.\r<BR>\n" );
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document.write( "here's a display of the results.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/052802.jpg\">\r<BR>\n" );
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document.write( "c) What is the least number of miles that the top 5% of tires last?\r<BR>\n" );
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document.write( "least number of miles in the top 5% is equal to 33289.707.\r<BR>\n" );
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document.write( "here's a display of the results.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/052803.jpg\">\r<BR>\n" );
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document.write( "d) Would it be unusual for a tire to last 35,000 miles? (Y/N\r<BR>\n" );
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document.write( "the probability of the tire lasting more than 35,000 miles is 0.0062.\r<BR>\n" );
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document.write( "that would be considered unlikely, since the probability is less than .01.<BR>\n" );
document.write( "a probability of less than .01 means that more than 99% of the tires would have a life less than 35,000 miles.\r<BR>\n" );
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document.write( "here's a display of the results.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2021/052804.jpg\"> </SPAN>\n" );
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