let (X, Y) be a two dimensional random variable then their joint distribution function is denoted by FXY (X,Y) and it represents the probability that simultaneously the observation (X,Y) will have the property (X ≤ x and Y ≤ y) that is
FXY (X,Y) = P( -∞ <X ≤ x, -∞ < Y ≤ y)
Properties of joint distribution function:
P(a1 < X ≤ b1, a2 < X ≤ b2) = FXY (b1, b2) + FXY (a1, a2) - FXY (a1, b2) - FXY (b1, a2)
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