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...

Extracted 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.)