1. Earthquake magnitudes are exponentially distributed, with a mean magnitude of 4.7.
(a) What is the probability that the next earthquake will have magnitude between 3.6 and 5.2? (2)
(b) What is the 85th percentile of the magnitude distribution? (2)
2. Suppose that commuting times are uniformly distributed, and range between 10 minutes and 55 minutes.
(a) What is the probability that an individual has a commuting time between 20 and 40 minutes? (2)
(b) What is the 65th percentile of the commuting time distribution? (2)
(c) What is the mean commuting time? (1)
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