document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1193773>Question 1193773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8 Last year, at Northern Manufacturing Company, 200 <BR>\n" );
document.write( "people had colds during the year. One hundred fiftyfive people who did no exercising had colds, and the <BR>\n" );
document.write( "remainder of the people with colds were involved in <BR>\n" );
document.write( "a weekly exercise program. Half of the 1,000 employees were involved in some type of exercise.<BR>\n" );
document.write( "(a) What is the probability that an employee will <BR>\n" );
document.write( "have a cold next year?<BR>\n" );
document.write( "(b) Given that an employee is involved in an exercise program, what is the probability that he or <BR>\n" );
document.write( "she will get a cold next year?<BR>\n" );
document.write( "(c) What is the probability that an employee who is <BR>\n" );
document.write( "not involved in an exercise program will get a <BR>\n" );
document.write( "cold next year?<BR>\n" );
document.write( "(d) Are exercising and getting a cold independent <BR>\n" );
document.write( "events? Explain your answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #825841 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=825841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 500 exercised and 500 didn't, and the total is 1000<BR>\n" );
document.write( "this is what you are given<BR>\n" );
document.write( "----------C--------NC------Total<BR>\n" );
document.write( "E------- 45-----------------500<BR>\n" );
document.write( "NE------155---------------- 500<BR>\n" );
document.write( "Total---200----------------1000\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "From that, you can fill out the rest of the table\r<BR>\n" );
document.write( "\n" );
document.write( "----------C--------NC------Total<BR>\n" );
document.write( "E------- 45-------455-------500<BR>\n" );
document.write( "NE------155------345-------500<BR>\n" );
document.write( "Total---200-------800------1000\r<BR>\n" );
document.write( "\n" );
document.write( "a. 20%<BR>\n" );
document.write( "b. 45/500 or 9%<BR>\n" );
document.write( "c. 31%, assuming you can generalize the results to next year<BR>\n" );
document.write( "d.If exercise and getting a cold are independent then the probability(E), 0.5, and probability(C), 0.2 equals the probability of P(E and C), which is 0.09. <BR>\n" );
document.write( "0.10 NE 0.09, so not independent. They are dependent to some extent. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );