The following is a two-way classification of 500 students based on gender: Male (M) or Female (F); and their student status: New (N), Continuing (C) or Re-entering (R). N C R Total M 60 170 70 300 F 40 110 50 200 Total 100 280 120 500 (a) Find the prob. that a r/s student is new. (b) Find the conditional prob. that a r/s student is new given that he is a male. (c) Are the two events “a r/s student is new” and “a r/s student is a male” independent? Why or why not

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.3: Rules For Addition
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The following is a two-way classification of 500 students based on gender: Male (M) or Female (F); and their student status: New (N), Continuing (C) or Re-entering (R). N C R Total M 60 170 70 300 F 40 110 50 200 Total 100 280 120 500 (a) Find the prob. that a r/s student is new. (b) Find the conditional prob. that a r/s student is new given that he is a male. (c) Are the two events “a r/s student is new” and “a r/s student is a male” independent? Why or why not? 

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