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2. According University of Maryland records, 0.55 of undergraduate students have

ID: 3276490 • Letter: 2

Question

2. According University of Maryland records, 0.55 of undergraduate students have lived in Maryland, 0.38 of undergraduate students have lived in states other than Maryland, and 0.16 of undergraduate students have not lived in any of the 50 states. a. Determine the probability an undergraduate student selected at random has lived in either Maryland or an other state. b. Determine the probability an undergraduate student selected at random has lived in both Maryland and an other state. c. Determine the probability an undergraduate student selected at random has lived in an other state but not Maryland. d. Determine the probability an undergraduate student selected at random has lived in Maryland, given they have lived in an other state.

Explanation / Answer

a) P( Maryland or either state ) = 1-0.16 = 0.84

B) P( Maryland and other state) = 0.55+0.38-0.84 = 0.09

C) P( Not Maryland but in other state ) = 0.38-0.09 = 0.29

D) P( Maryland/ Lived in. Other state ) = 0.09/0.38 = 0.2368