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P(A I B) is the probability that a randomly chosen professional basketball player is over six feet tall — a reasonably large probability. Chapter 6: Continuous Probability Distributions A continuous uniform random variable x has a lower bound of a = -3, an upper bound of b = 5. Chapter 5: Discrete Probability Distributions If 85% of vehicles arriving at the Lincoln Tunnel (connecting New Jersey and New York City) have either New York or New Jersey license plates, what is the probability that, of the next 20 vehicles, 2 or fewer (that is, 0, 1, or 2) will bear license plates from states other than New Jersey or New York?. In Chapter 5, we step away from data for a while. 1 The probability distribution of a discrete random variable assigns probabilities to points while that of a continuous random variable assigns probabilities to intervals. Random variables are useful because they help us determine if playing a game like roulette (shown to the right) is profitable in the long-term. 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