document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93698>Question 93698</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534465390/algebrahomeworkh>finite mathmatics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 1) For the grouped data:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Score      Frequency <BR>\n" );
document.write( "90-100       8 <BR>\n" );
document.write( "80-89       12 <BR>\n" );
document.write( "70-79       26 <BR>\n" );
document.write( "60-69       14 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "An estimate of the mean is _____\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2)The expected value of the following probability distribution is ___________.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "xi  1       5     10     20     50  <BR>\n" );
document.write( "pi 0.30   0.40   0.10   0.15   0.05 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3) Of 200 students surveyed 40 subscribe to Time Magazine, 65 subscribe to Sports Illustrated, and 10 subscribe to both. If a student is selected at random, what is the probability the student subscribes to Time Magazine or Sports Illustrated?\r<BR>\n" );
document.write( "\n" );
document.write( "4) A consumer's group checked the gasoline mileage (to the nearest mile per gallon) on 25 different cars. The following gives a summary of the findings.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Miles per Gallon      Frequency \r<BR>\n" );
document.write( "\n" );
document.write( "Less than 15              2 <BR>\n" );
document.write( "16-20                     4 <BR>\n" );
document.write( "21-30                     13 <BR>\n" );
document.write( "31-40                     5 <BR>\n" );
document.write( "Over 40                   1 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "What quantities can be obtained from the table? \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68287 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=68287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) For the grouped data: \r<BR>\n" );
document.write( "\n" );
document.write( "Score Frequency <BR>\n" );
document.write( "90-100 8 <BR>\n" );
document.write( "80-89 12 <BR>\n" );
document.write( "70-79 26 <BR>\n" );
document.write( "60-69 14 \r<BR>\n" );
document.write( "\n" );
document.write( "An estimate of the mean is _____ \r<BR>\n" );
document.write( "\n" );
document.write( "Use the \"mark\" of each class as a representative value; multiply each<BR>\n" );
document.write( "mark by its corresponding frequency; add the results; divide by the <BR>\n" );
document.write( "sum of the frequencies to get the estimate of the mean:<BR>\n" );
document.write( "8*95 + 12*84.5 + 26*74.5 + 14*64.5 = 4614<BR>\n" );
document.write( "4614/60 = 76.9<BR>\n" );
document.write( "=========================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2)The expected value of the following probability distribution is ___________. \r<BR>\n" );
document.write( "\n" );
document.write( "xi 1      5   10   20   50 <BR>\n" );
document.write( "pi 0.30 0.40 0.10 0.15 0.05<BR>\n" );
document.write( "Multiply each xi by its corresponding pi and add the results to get the expected value:<BR>\n" );
document.write( "1*.3 + 5*.4 + 10*.1 + 20*.15 +50*.05 = 8.8<BR>\n" );
document.write( "========================= <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "3) Of 200 students surveyed 40 subscribe to Time Magazine, 65 subscribe to Sports Illustrated, and 10 subscribe to both. If a student is selected at random, what is the probability the student subscribes to Time Magazine or Sports Illustrated?<BR>\n" );
document.write( "P(T or S) = P(T) + P(S) - P(T and S)<BR>\n" );
document.write( "= (40/200) + (65/200) - (10/200)<BR>\n" );
document.write( "= 95/200<BR>\n" );
document.write( "====================\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( "4) A consumer's group checked the gasoline mileage (to the nearest mile per gallon) on 25 different cars. The following gives a summary of the findings. \r<BR>\n" );
document.write( "\n" );
document.write( "Miles per Gallon Frequency <BR>\n" );
document.write( "Less than 15....... 2 <BR>\n" );
document.write( "16-20 ..............4 <BR>\n" );
document.write( "21-30 .............13 <BR>\n" );
document.write( "31-40 ..............5 <BR>\n" );
document.write( "Over 40 ............1 \r<BR>\n" );
document.write( "\n" );
document.write( "What quantities can be obtained from the table? <BR>\n" );
document.write( "An estimate of the mean; estimate of standard deviation; estimate of mode;<BR>\n" );
document.write( "estimate of median; estimate of range; estimate of minimum; est. of maximum.<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );