Assume that a developer is planning to construct a small neighborhood shopping strip of 10,000 sq. ft in county 3 (figure below). There are two existing centers, A and B, in counties 1 and 2, respectively. The distance between the counties is the same, 20 minutes. As in the example in the book, assume that the distance increases by 1 for every 5 minutes. Thus, T₁2 = T13 = T23 = 4. It takes a resident living in a county less than 5 minutes to reach a center in the same county, that is, T₁1 = T22 = T33 = 1. The parameter b in the book formula 3.4 is equal to 2. County 1 Center A Size: 10,000 sf County 3 Project: Construct Center C Size: 10,000 sf County 2 Center B Size: 15,000 sf 1) What is the probability that a resident of county 1 shops at the new center in county 3?
Assume that a developer is planning to construct a small neighborhood shopping strip of 10,000 sq. ft in county 3 (figure below). There are two existing centers, A and B, in counties 1 and 2, respectively. The distance between the counties is the same, 20 minutes. As in the example in the book, assume that the distance increases by 1 for every 5 minutes. Thus, T₁2 = T13 = T23 = 4. It takes a resident living in a county less than 5 minutes to reach a center in the same county, that is, T₁1 = T22 = T33 = 1. The parameter b in the book formula 3.4 is equal to 2. County 1 Center A Size: 10,000 sf County 3 Project: Construct Center C Size: 10,000 sf County 2 Center B Size: 15,000 sf 1) What is the probability that a resident of county 1 shops at the new center in county 3?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Transcribed Image Text:Assume that a developer is planning to construct a small neighborhood shopping strip of 10,000 sq.
ft in county 3 (figure below). There are two existing centers, A and B, in counties 1 and 2,
respectively. The distance between the counties is the same, 20 minutes. As in the example in the
book, assume that the distance increases by 1 for every 5 minutes. Thus, T12 = T13 = T23 = 4. It takes
a resident living in a county less than 5 minutes to reach a center in the same county, that is, T11 =
T22 T33 = 1. The parameter b in the book formula 3.4 is equal to 2.
County 1
Center A
Size: 10,000 sf
County 3
Project: Construct
Center C
Size: 10,000 sf
County 2
Center B
Size: 15,000 sf
1) What is the probability that a resident of county 1 shops at the new center in county 3?
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