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Assume the following table gives the joint PDF (probability distribution function, not Adobe document!!) of two discrete variables, x and Y. Variable X -2 0 2 3 3 0.27 0.08 0.16 0 Variable Y 6 0 0.04 0.10 0.35
Understanding of the Table: If the variable X takes on a value, (-2) and the variable Y takes on a value 3, their joint probability is 0.27. In other words, the probability of X=-2 and Y=3 at the same time is 0.27. Continuing this, the probability of X=0 and Y=3 is 0.08 and so on. Using the information given in the table above, Analyse
Marginal Probability Density Functions of X and Marginal Probability Density Functions of Y.
Conditional probability of (X=-2|Y=3) and the conditional probability of (X= 2 | Y=6).
(b) Suppose that the initial conditions are as follows: y0 = 0 and et = 0 for t= 0. Impose the initial conditions in order to find the general solution.
let y denote the number of "heads" that occur when two coins are tossed
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