Question

In: Statistics and Probability

if A union B = S, A intersect B = empty set, P(A) = x, P(B)...

if A union B = S, A intersect B = empty set, P(A) = x, P(B) = y, and 3x-y = 1/2, find x and y.

Expert Solution

Data given:

Now, we can find the values of x and y as -

1.

2. Similarly,

As we know, the formula for P(A U B) is given as -

On adding Equation1 and Equation2, we get -

On substituting the value of x = (3/8) in Equation2, we get -

Thus, the values for x and y are -

orchestra answered 2 years ago

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