The number 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 circler 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 r2 30. 24 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 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 circler 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 r2 30. 24 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.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 37E
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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 = Car, where C is a constant, TT = 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 2 30.
r
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.)
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