If a continuous random variable has probability density function for (and elsewhere), what is the value of ?

Answer and explanation

Correct answer: B.

  1. Step 1: For to be a valid pdf, the total area must equal 1: .
  2. Step 2: Integrate: .
  3. Step 3: Set equal to 1: .
Answer
.
Why not the others: '' sets , giving total area 2; '' multiplies instead of dividing by 2; '' evaluates .

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