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1. For the uniform distribution with a = -1 and b = 1, determine c such that (a) P(X ≤ c) = .9, (b) P(X ≤ c) = .95, (c) P(X>c) = .99.

2. For the uniform distribution with a = -1 and b = 1, determine c such that (a) P(-c ≤ X ≤ c) = .9, (b) P(-c ≤ X ≤ c) = .95, (c) P(-c ≤ X ≤ c) = .99.

3. Suppose the waiting time at a traffic light has a uniform distribution from 0 to 20 seconds. Determine the probability of waiting (a) exactly 12 seconds, (b) less than 5 seconds, (c) more than 10 seconds.

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