document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=204448>Question 204448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An analysis of public emergency response times to calls made in a small city indicates that these responses are normally distributed with a mean &#956; = 240 seconds and a standard deviation &#963; = 40 seconds. \r<BR>\n" );
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document.write( "a. what is the probability that a particular call lasted between 180 and 300 seconds?<BR>\n" );
document.write( "b. what is the probability that a particular call lasted between 110 and 180 seconds? <BR>\n" );
document.write( "c. what is the probability that a particular call lasted less than 180 seconds? <BR>\n" );
document.write( "d. what is the probability that a particular call lasted more than 280 seconds? <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 #154387 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=154387\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An analysis of public emergency response times to calls made in a small city indicates that these responses are normally distributed with a mean &#956; = 240 seconds and a standard deviation &#963; = 40 seconds.<BR>\n" );
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document.write( "For each of these problems you need to find the z-values corresponding to<BR>\n" );
document.write( "the numbers, then find the probability relating to those z-values.<BR>\n" );
document.write( "For example on part a see below:<BR>\n" );
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document.write( "a. what is the probability that a particular call lasted between 180 and 300 seconds?<BR>\n" );
document.write( "P(180<=x<-300) = P(z(180)<= z <= z(300)) = normalcdf(180,300,240,40) = 0.8664<BR>\n" );
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document.write( "b. what is the probability that a particular call lasted between 110 and 180 seconds? <BR>\n" );
document.write( "Use the same procedure as on \"a\"<BR>\n" );
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document.write( "c. what is the probability that a particular call lasted less than 180 seconds? <BR>\n" );
document.write( "Use normalcdf(0,180,240,40) = 0.0668<BR>\n" );
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document.write( "d. what is the probability that a particular call lasted more than 280 seconds?<BR>\n" );
document.write( "Use normalcdf(280,1000,240,40) = 0.1587<BR>\n" );
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document.write( "Comment: I used a TI calculator to get the probabilities.<BR>\n" );
document.write( "Let me know if this feedback was of no help.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H </SPAN>\n" );
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