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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 1 3. 0. 0.01 0.03 0.04 0.02 1 0.02 0.06 0.08 0.04 0.03 0.09 0.12 0.06 3 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?

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 1 3. 0. 0.01 0.03 0.04 0.02 1 0.02 0.06 0.08 0.04 0.03 0.09 0.12 0.06 3 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?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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
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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