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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 Nis proportional to the area of a circle r blocks from the firehouse, then = Cer, vwhere C is a constant, = 3.1416. in the accompanying table, and p(r) -O for r s 23 and r2 30. 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 = 7, the probability distribution for r is as shown 24 25 26 27 28 29 P(r) 0.05 0.20 0.30 0.25 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.)

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 Nis proportional to the area of a circle r blocks from the firehouse, then = Cer, vwhere C is a constant, = 3.1416. in the accompanying table, and p(r) -O for r s 23 and r2 30. 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 = 7, the probability distribution for r is as shown 24 25 26 27 28 29 P(r) 0.05 0.20 0.30 0.25 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.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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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 N is proportional to the area of a circle r blocks from the firehouse, then N = Crr, where C is a constant, 7 = 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 = 7, the probability distribution for r is as shown in the accompanying table, and p(r) = 0 for rs 23 and r 30. 24 25 26 27 28 29 P(r) 0.05 0.20 0.30 0.25 0.15 | 0.05 Find the expected value of N, the number of homes that the fire department can serve. (Round your answer two decimal places.)
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 N is proportional to the area of a circle r blocks from the firehouse, then N = Crr, where C is a constant, 7 = 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 = 7, the probability distribution for r is as shown in the accompanying table, and p(r) = 0 for rs 23 and r 30. 24 25 26 27 28 29 P(r) 0.05 0.20 0.30 0.25 0.15 | 0.05 Find the expected value of N, the number of homes that the fire department can serve. (Round your answer two decimal places.)
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