PracticeMidTem2

# PracticeMidTem2 - Midterm 2 Exam STAT 211-505(Type A Name...

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1. A clinic needs 3 nurses and 3 doctors to handle incoming patients properly. The joint probability model for the number of nurses ( X ) and doctors ( Y ) that show up on any given day is given below. Y 0 1 2 3 0 0.3 0.15 0.02 0.01 1 0.2 0.05 0.01 0.01 X 2 0.1 0.05 0.02 0.01 3 0.01 0.02 0.03 0.01 What is the probability that more than three total staF (nurses and doctors) will show up on any given day? A. 0.01 B. 0.18 C. 0.10 D. 0.08 E. 0.90 2. In the previous problem, are X and Y independent? A. Yes because P ( X = 3 ,Y = 3) n = P ( X = 3) P ( Y = 3) B. Yes because P ( X = 3 ,Y = 1) = P ( X = 2 ,Y = 0) P ( X = 1 ,Y = 0) C. No because P ( X = 0 ,Y = 0) n = P ( X = 0) P ( Y = 0) D. No because P ( X = 0 ,Y = 0) n = P ( X = 1) P ( Y = 1) E. Yes because P ( X = 1) = P ( Y = 1) 3. In the previous problem, what is the expected number of nurses that show up on a given day? A. 0.403 B. 0.84 C. 0.5 D. 1.5 E. 2 4. In the previous problem, suppose we record the number of nurses and doctors that show up every day for 64 days. What is the expected diFerence between the average number of nurses and the average number of doctors that show up for 64 days?
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## This note was uploaded on 02/23/2011 for the course MEEN 221 taught by Professor Mcvay during the Spring '08 term at Texas A&M.

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PracticeMidTem2 - Midterm 2 Exam STAT 211-505(Type A Name...

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