2 In Fall 2015 there were 7242 Penn State World Campus under

2. In Fall 2015 there were 7,242 Penn State World Campus undergraduate students. Of those, 3,449 were Pennsylvania residents. Let R = Pennsylvania resident (30 points) a. Compute P (R). b. Compute P (RC). c. In words, what does P (RC) mean? d. Were the probabilities in parts a and b subjective or relative frequency probabilities? Explain why. e. If you were to randomly select one Penn State World Campus undergraduate student, what are the odds that he or she would be a Pennsylvania resident? f. If you were to randomly select one Penn State World Campus undergraduate student, what are the odds that he or she would NOT be a Pennsylvania resident?

Solution

a)

P(R) = 3449/7242 = 0.476249655 [ANSWER]

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B)

P(Rc) = 1 -P(R) = 0.523750345 [ANSWER]

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c)

It is the probability that the student is not a Pennsylvania resident.

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d)

Relative frequency, because we have data to back it up.

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e)

Odds = P(R)/P(Rc) = 0.909306617 or 0.909306617:1 [ANSWER]

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f)

Odds = P(Rc)/P(R) = 1.099739055 or 1.099739055:1 [ANSWER]