What is the expected value of a discrete random variable with the probability distribution:
with
with
with ?

Answer and explanation

Correct answer: B.

  1. Step 1: The expected value formula is .
  2. Step 2: Compute individual products: , , .
  3. Step 3: Sum the products: .
Answer
.
Why not the others: '' simply takes the middle value; '' is the arithmetic mean of without weighting; '' computes .

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