The table below displays data concerning Penn State undergraduate and graduate e

Question

The table below displays data concerning Penn State undergraduate and graduate enrollment by campus in Fall 2015. Assume that the population of interest is all 97.494 Penn State students, unless otherwise specified. Use the following notation: U = Undergraduate W = World Campus Data from http://budget.psu.edu/factbook/StudentDvnamic/UGGREnrollSummarvBvAd isor.aspx?YearCode=2015Enr&FBPIuslndc;=N F. If you were to randomly select one Penn State student from this population, what is the probability that the student is a University Park undergraduate student? G. Given that a randomly selected student is an undergraduate student, what is the probability that they are a World Campus student? H. Given that a randomly selected student is not an undergraduate student, what is the probability that they are a World Campus student? I. Using the formulas check if the events U and W are independent. J. Are U and W disjoint events? Why or why not?

Explanation / Answer

F) probability =40742/97494=0.4179

G)probability =7242/83436=0.0868

H)probability =5000/14058=0.3557

I)P(U &W)=7242/97494=0.0743

which is not equal to P(U)*P(W)=(83436/97494)*(12242/97494)=0.1075

hence U and W are not independent

J) as U and W has 7242 common students they can not be disjoint

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