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The number W of residential homes that a fire company can serve depends on the distance r (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that W is proportional to the area of a circler blocks from the firehouse, then N= Car2, where C is a constant, = 3.1416..., and r, a random variable, is the number of blocks that a fire engine can move in the specified time interval. For a particular fire company, C= 8, the probability distribution for r is as shown in the accompanying table, and p(r)= 0 for r s 23 and r2 30. r p(r) 24 25 0.05 0.20 26 Need Help? Read It 27 28 29 0.25 0.30 0.15 0.05 Find the expected value of N, the number of homes that the fire department can serve. (Round your answer to two decimal places.) X homes

The number W of residential homes that a fire company can serve depends on the distance r (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that W is proportional to the area of a circler blocks from the firehouse, then N= Car2, where C is a constant, = 3.1416..., and r, a random variable, is the number of blocks that a fire engine can move in the specified time interval. For a particular fire company, C= 8, the probability distribution for r is as shown in the accompanying table, and p(r)= 0 for r s 23 and r2 30. r p(r) 24 25 0.05 0.20 26 Need Help? Read It 27 28 29 0.25 0.30 0.15 0.05 Find the expected value of N, the number of homes that the fire department can serve. (Round your answer to two decimal places.) X homes

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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The number N of residential homes that a fire company can serve depends on the distance r (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that Wis proportional to the area of a circler blocks from the firehouse, then N = Car², where C is a constant, = 3.1416..., and r, a random variable, is the number of blocks that a fire engine can move in the specified time interval. For a particular fire company, C= 8, the probability distribution for r is as shown in the accompanying table, and p(r) = 0 for r s 23 and r≥ 30. r 24 Need Help? 25 26 Read It 27 28 p(r) 0.05 0.20 0.25 0.30 0.15 0.05 29 Find the expected value of N, the number of homes that the fire department can serve. (Round your answer to two decimal places.) X homes
Transcribed Image Text:The number N of residential homes that a fire company can serve depends on the distance r (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that Wis proportional to the area of a circler blocks from the firehouse, then N = Car², where C is a constant, = 3.1416..., and r, a random variable, is the number of blocks that a fire engine can move in the specified time interval. For a particular fire company, C= 8, the probability distribution for r is as shown in the accompanying table, and p(r) = 0 for r s 23 and r≥ 30. r 24 Need Help? 25 26 Read It 27 28 p(r) 0.05 0.20 0.25 0.30 0.15 0.05 29 Find the expected value of N, the number of homes that the fire department can serve. (Round your answer to two decimal places.) X homes
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