Question: Let X represent a person's health status (0 = not have cancer, 1 = have cancer) and Y represent the diagnosis result for that person

Let X represent a person's health status (0 = not have cancer, 1 = have cancer) and Y represent the diagnosis result for that person (0 = negative result, 1 = positive result). It is known that the joint density function of X and Y is as follows: P [ X = 0, Y = 0] = 0.8 P[ X = 1, Y = 0] = 0.1 P[ X = 0, Y = 1] = 0.025 P [ X = 1, Y = 1] = 0.075

Determine Var( Y| X=1)

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