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Example 8 - Solution We are given that X and Y are normally distributed with 1 4.0, 2 6.0 and 1 2 0.01. So the individual density functions for X and Y are Since X and Y are independent, the joint density function is the product f (x, y) f 1(x)f 2(y). 1.3. Continuous Probability Distributions For any continuous random variable, X, there exists a non-negative function f(x), called the probability density function (p.d.f) through which we can find probabilities of events expressed in term of X. f R 0,) P(a < X < b) area under the curve of f(x) and over the.
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