document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186174>Question 1186174</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the time between buses at a particular stop is a positively skewed random variable with an average of 55 minutes and standard deviation of 6 minutes. Suppose the time between buses at this stop is measured for a randomly selected week, resulting in a random sample of n = 40 times. The average of this sample, x-bar, is a random variable that comes from a specific probability distribution.\r<BR>\n" );
document.write( "\n" );
document.write( "a) Calculate the probability that the mean time for the sample of 40 observations will be between 54 and 56 minutes. <BR>\n" );
document.write( "P(54 <= x-bar <= 56)<BR>\n" );
document.write( "Hint: you can use the sampling distribution parameters and the pnorm() function in R. Round your answer to 3 decimal places. \r<BR>\n" );
document.write( "\n" );
document.write( "b) How likely is it that the average time will exceed 57 minutes? P(x >= 57)<BR>\n" );
document.write( "Round your answer to three decimal places. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #817071 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=817071\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Nope. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );