The article "Probabilistic Risk Assessment of Infrastructure Networks Subjected to Hurricanes"t suggests a uniform distribution as a model for the actual landfall position of the eye of a hurricane. Consider the random variable x = distance of actual landfall from predicted landfall. Suppose that a uniform distribution on the interval that ranges from 0 km to 400 km is a reasonable model for x. (a) What is the probability that x is at most 300? (b) What is the probability that x is between 300 and 450? (c) What is the probability that x is between 150 and 300? (d) Explain why the probabilities calculated in parts (b) and (c) are equal.

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