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:

Question

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?

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