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Unformatted text preview: 1 Continuous random variables f(x) x 2 Continuous random variables A discrete random variable has values that are isolated numbers, e.g.: Number of boys in a family number of heads in 10 flips of a coin A continuous random variable has values over an entire interval, e.g.: Height of people All values in the interval [2.2,8.2] 3 Difference between discrete and continuous rvs In the random numbers table, every digit 0,1, ,9 has the same probability of 0.1 to be selected. S={0,1,2,3,4,5,6,7,8,9} Probability histogram: 0 1 2 3 4 5 6 7 8 9 4 Difference between discrete and continuous rvs Now suppose that we want to choose at random a number in [0,1]. You can visualize such a random number by thinking of a spinner that turns freely on its axis and slowly comes to stop: In this case, the sample space is an interval : S={all numbers x such that 0x1} 5 Difference between discrete and continuous rvs S={all numbers x such that 0x1} We want all possible outcomes to be equally likely ....
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 Spring '09
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