document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1141826>Question 1141826</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Among a certain population of primates, the volume of the cranial cavity is normally distributed with a mean of 1000 cc and a standard deviation of 117 cc.<BR>\n" );
document.write( "(a) What percentage of primates will have a volume of the cranial cavity smaller than 950<BR>\n" );
document.write( "cc?<BR>\n" );
document.write( "(b) What percentage of primates will have a volume of the cranial cavity between 1000 cc<BR>\n" );
document.write( "and 1350 cc?<BR>\n" );
document.write( "(c) What percentage of primates will have a volume of the cranial cavity larger than 1250<BR>\n" );
document.write( "cc?<BR>\n" );
document.write( "(d) We are selecting five members of this population at random. What is the probability that<BR>\n" );
document.write( "all of the 5 selected primates will have a volume of the cranial cavity that is larger than<BR>\n" );
document.write( "1150 cc? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #762464 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=762464\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z=(x-mean)/sd or (x bar-mean)sigma/sqrt(n) if a sample is used<BR>\n" );
document.write( "a. z<(950-1000)/117 or <-0.43 and that probability is 0.3336<BR>\n" );
document.write( "b. this is z between 0 and 350/117 or between 0 and 3 or 0.4986 probability<BR>\n" );
document.write( "c. greater than 1250 cc is z>250/117 or 2.14 for a probability of 0.0162<BR>\n" );
document.write( "d. here it is z>(150/117)*sqrt(5) or z>2.87 or probability of 0.0021 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );