Example

Continuing with Examples 4 and 5, let us compute the following conditional probabilities:

f (X =-2 | Y = 3) = f (X = -= J)= 3) = 0.27/0.51 = 0.53

Notice that the unconditional probability f(X = -2) is 0.27, but if Y has assumed the value of 3, the probability that Xtakes the value of -2 is 0.53.

f(X = 2 | Y = 6) = f(X= 2 Y = 6) = 0.10/0.49 = 0.20 f (Y = 6)

Again note that the unconditional probability that X takes the value of 2 is 0.26, which is different from 0.20, which is its value if Y assumes the value of 6.

876 APPENDIX A: A REVIEW OF SOME STATISTICAL CONCEPTS

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