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Posted: **Wed Jul 06, 2022 12:18 pm**

: 3 Let X Denote The Number Of Times 1 2 Or 3 Times A Certain Machine Malfunctions On Any Given Day Let Y Denote The 1 (16.91 KiB) Viewed 7 times

: 3 Let X Denote The Number Of Times 1 2 Or 3 Times A Certain Machine Malfunctions On Any Given Day Let Y Denote The 2 (9.58 KiB) Viewed 7 times

3. Let X denote the number of times (1, 2, or 3 times) a certain machine malfunctions on any given day. Let Y denote the number of times (1, 2, or 3 times) a technician is called on an emergency call. The joint probability distribution fxy (x, y) is given by 1 y 123 x 0.05 0.05 0 2 0.05 0.1 0.2 3 0.1 0.35 0.1 SURTE
(a) Evaluate the mean and variance of X. (b) Evaluate the mean and variance of Y. (c) Evaluate P(Y = 2|X = 3). (d) Evaluate E(XY) and determine the correlation coefficient between X and Y.