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3. Suppose a value is chosen "at random” in the interval (0,6]. In other words, r is an observed value of a random varia
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- 3 Suppose A Value Is Chosen At Random In The Interval 0 6 In Other Words R Is An Observed Value Of A Random Varia 1 (78.44 KiB) Viewed 36 times
3. Suppose a value is chosen "at random” in the interval (0,6]. In other words, r is an observed value of a random variable x U(0,6). The random variable X divides the interval (0,6) into two subintervals, the lengths of which are X and 6 - X respectively. Denote by Y the length of the shorter of the two intervals. (a) Draw a picture which illustrates the value of Y as a function of the possible values of X (b) Describe the support of Y and find the probability P(Y > y) for any given y. (c) Find both the cdf and the pdf of Y. Can you tell the name of the distribution of Y?