document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164441>Question 1164441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five hundred employees were selected from a city’s large private companies and asked whether or<BR>\n" );
document.write( "not they have any retirement benefits provided by their companies. Based on this information, the following two-way classification table was prepared.<BR>\n" );
document.write( "men-225 have retirement benefits and 75 not have the benefit.<BR>\n" );
document.write( "female-150 have retirement benefits and 50 not have the benefit.\r<BR>\n" );
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document.write( "question:<BR>\n" );
document.write( "a. Suppose one employee is selected at random from these 500 employees. Find the following probabilities.<BR>\n" );
document.write( "i. Probability of the intersection of events “woman” and “yes”<BR>\n" );
document.write( "ii. Probability of the intersection of events “no” and “man”<BR>\n" );
document.write( "b. Mention what other joint probabilities you can calculate for this table and then find them. You<BR>\n" );
document.write( "may draw a tree diagram to find these probabilities. </SPAN>\n" );
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document.write( "-------B+----------B-    ---Total<BR>\n" );
document.write( "M----225---------75------300<BR>\n" );
document.write( "W----150---------50------200<BR>\n" );
document.write( "Total--375-------125------500\r<BR>\n" );
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document.write( "i. 150/500 or 0.3<BR>\n" );
document.write( "ii. 75/500 or 0.15<BR>\n" );
document.write( "there are joint probabilities of men and benefits and of women and no benefits \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );