1. What is the probability that no beds while be occupied at the north hospital while the south hospital is fully occupied? 2. What is the probability the sum of occupied beds of the two hospital is at most 6? 3. Compute the probability that at least 1 bed will be occupied at the south hospital and at least 1 bed at the north hospital?
1. What is the probability that no beds while be occupied at the north hospital while the south hospital is fully occupied? 2. What is the probability the sum of occupied beds of the two hospital is at most 6? 3. Compute the probability that at least 1 bed will be occupied at the south hospital and at least 1 bed at the north hospital?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:A city has two small hospitals one at the south end and the other at the north
end. Let X denote the number of south beds occupied at a particular time on a
given day, and let Y denote the number of north beds occupied at the same
time on the same day. The following is the joint probability distribution:
Y
0.01
0.03
0.04
0.02
0.02
0.06
0.08
0.04
2.
0.03
0.09
0.12
0.06
0.02
0.06
0.08
0.04
4
0.02
0.06
0.08
0.04
1. What is the probability that no beds while be occupied at the north
hospital while the south hospital is fully occupied?
2. What is the probability the sum of occupied beds of the two hospital is
at most 6?
3. Compute the probability that at least 1 bed will be occupied at the south
hospital and at least 1 bed at the north hospital?
4. What is the probability that at least one of the two hospitals has no beds
occupied?
5. Which hospital has a higher of occupancy rate? Justify
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