The 600 students in a faculty include undergraduates and postgraduates who may study full time or part time. Given that 420 of them are undergraduates, out of whom 400 are full times students. In total, only 50 students are part time. A student is selected at random. a) Find the probability that the student is a part time student. b) What is the probability if the student is a postgraduate given that the student taking full-time mode? c) Are events ‘undergraduate’ and ‘full-time’ independent? Verify your answer.

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The 600 students in a faculty include undergraduates and postgraduates who may study full time or
part time. Given that 420 of them are undergraduates, out of whom 400 are full times students. In
total, only 50 students are part time. A student is selected at random.
a) Find the probability that the student is a part time student.
b) What is the probability if the student is a postgraduate given that the student taking full-time
mode?
c) Are events ‘undergraduate’ and ‘full-time’ independent? Verify your answer.

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