document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1175124>Question 1175124</A>: <I><SPAN STYLE=\"word-break: break-all;\"> While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection<BR>\n" );
document.write( "that vary between 2.00 m and 7.00 m.<BR>\n" );
document.write( "a. What is the probability that a randomly selected depth is less than 3.50 m? <BR>\n" );
document.write( "b. What is the probability that a randomly selected depth is between 2.15 m and 5.50 m? <BR>\n" );
document.write( "c. What is the expected value of the water depth? <BR>\n" );
document.write( "d. What is the standard deviation of the water depth? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #800686 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=800686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The range is 5 m and one goes from 2-3.5 m or 1.5 m<BR>\n" );
document.write( "The probability is 1.5/5 or 0.30.<BR>\n" );
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document.write( "The difference is 3.35 m and the probability is 3.35/5 or 0.67.<BR>\n" );
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document.write( "expected value is midway between the two ends or 4.5 m<BR>\n" );
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document.write( "the variance is (b-a)^2/12 or 25/12.<BR>\n" );
document.write( "sd is sqrt of variance or 5/2 sqrt (3) or 5 sqrt(3)/6, or 1.44 m </SPAN>\n" );
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