Example class 8

# Example class 8 - The University of Hong Kong Department of...

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The University of Hong Kong Department of Statistics and Actuarial Science STAT1301 Probability and Statistics I Example class 8 Joint Distributions Joint Distribution Function: The joint behavior of two random variables X and Y is determined by the cumulative distribution function, a) If X and Y are discrete random variables, the joint frequency function (joint probability mass function) is Marginal frequency function of X Marginal frequency function of Y b) If X and Y are continuous random variables, the joint density function is Marginal density function of X Marginal density function of Y c) In analogy with the definition in the preceding section, if X and Y are jointly continuous random variables, the conditional density of Y given X is defined as If

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Exercise 1. (Discrete RV’s Joint Density)The random variable X can take the values 1 and 2 and the random variable Y can take the values 3, 4 and 5. You are given the following information. Calculate
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Example class 8 - The University of Hong Kong Department of...

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