SOLUTION: Blue Nile University recently conducted a survey of undergraduate students in order to gather information about the usage of the library. The population for this study included a

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Question 1116469: Blue Nile University recently conducted a survey of undergraduate students in order to
gather information about the usage of the library. The population for this study included
all 4000 undergraduate students enrolled in the university. The library officers are
interested in increasing usage, particularly among females (F) and seniors (S) at the
university. Of the 4000 students, 800 students are seniors, 1800 students are females and
450 of the 1800 females are seniors.
Required:
• What is the probability that a student selected at random is a senior given that the
selected student is female?
• What is the probability that a student selected at random is female given that the
selected student is senior

Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.
• What is the probability that a student selected at random is a senior given that the selected student is female?


      =  = 0.25 = 25%.       <<<---=== DENOMINATOR = #of females;  NUMERATOR =  #intersection(senior,females)


• What is the probability that a student selected at random is female given that the selected student is senior?


      =  = 0.5625 = 56.25%   <<<---=== DENOMINATOR = #of seniors; NUMERATOR = #of senior females.


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