In Grafton, a rural area in Vermont, the distance (in meters) between telephone

Question

In Grafton, a rural area in Vermont, the distance (in meters) between telephone poles has a uniform distribution with a = 40 and b = 65. Suppose two consecutive telephone poles are selected at random. a. What is the probability that the distance between the poles is less than 60 meters? b. What is the probability that the distance between the poles is between 45 and 55 meters? Write a Solution Trail for this problem. c. Any distance between poles greater than 50 meters is considered to be environment friendly. What is the probability that the distance is environment friendly?

Explanation / Answer

X ~ U (40 , 65)

a) P(X < 60) = (60 - 40) / (65 - 40) = 0.8

b) P(45 < X < 55) = (55 - 45) / (65 - 40) = 0.4

c) P(X > 50) = (65 - 50) / (65 - 40) = 0.6

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