document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1052693>Question 1052693</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to Statistics Canada (Share of Non-Alcoholic Beverage Market, 2008), 16% of<BR>\n" );
document.write( "Canadians consume coffee, 12% - tea, 72% - others. Twenty five people have registered for<BR>\n" );
document.write( "a workshop on potential health hazards associated with consumption of caffeine in food<BR>\n" );
document.write( "and dietary supplements.<BR>\n" );
document.write( "a) Find the probability that exactly five people from the list of participants prefer drinking<BR>\n" );
document.write( "either tea or coffee. Calculate the probability manually and check your answer using Excel.<BR>\n" );
document.write( "b) Find the probability that at least two people out of 25 prefer drinking coffee. Calculate<BR>\n" );
document.write( "your answer manually and check your answer using Excel.<BR>\n" );
document.write( "c) What is the average number of people who prefer tea or coffee? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #668032 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=668032\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  According to Statistics Canada (Share of Non-Alcoholic Beverage Market, 2008), 16% of Canadians consume coffee, 12% - tea, 72% - others. <BR>\n" );
document.write( "Twenty five people have registered for a workshop on potential health hazards associated with consumption of caffeine in food and dietary supplements.<BR>\n" );
document.write( "a) Find the probability that exactly five people from the list of participants prefer drinkin either tea or coffee. Calculate the probability manually and check your answer using Excel.<BR>\n" );
document.write( "b) Find the probability that at least two people out of 25 prefer drinking coffee.<BR>\n" );
document.write( "Note:: P(not coffee) = 0.84\r<BR>\n" );
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document.write( "P(2<= x <=25) = 1-P(0< x <1) = 1 - P(x = 0) - P(x = 1)<BR>\n" );
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document.write( "= 1 - (0.84)^25 - 12*0.16*0.84^24 = 1 - 0.0179 - 0.0292 = 0.95291<BR>\n" );
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document.write( "Calculate your answer manually and check your answer using Excel.<BR>\n" );
document.write( "c) What is the average number of people who prefer tea or coffee?<BR>\n" );
document.write( "Since 72% prefer \"other\", 28% must prefer tea or coffee<BR>\n" );
document.write( "Average = p*n = 0.28*12 = 3.36<BR>\n" );
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document.write( "Comment:: My first answer to you was based on a complete misreading<BR>\n" );
document.write( "of your problem.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-----------  <BR>\n" );
document.write( " </SPAN>\n" );
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