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Probability Theory: Writing Functions Using Indicators

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Please see the attached file for the fully formatted problem.

Question: Write the following function using indicators:

.....{1 if x < -1,
.....{-x if -1</= x < 0,
f(x){x if 0 </= x <1,
.....{1 if x >/= 1.

Prove or disprove: I_AUB = I_A + 1_B - (I_A)(I_B)

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This solution is comprised of a detailed, step by step response which shows how a function can be written from indicators. The solution is detailed and well presented in an attached Word document.

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