A random variable has probability density function for , and 0 elsewhere. Find the constant and the expected value .

Answer and explanation

Correct answer: B. and

  1. Step 1: Total probability: . Step 2. Expected value: . Answer: k = 1/8 and E[X] = 8/3. Why not the others: Integration confirms and .

Practise more Calculus, Analytic Geometry and Probability.

Free questions with an explanation for every one, and full timed SIMAK UI mock tests.

All Calculus, Analytic Geometry and Probability questionsTake a mock test

More Calculus, Analytic Geometry and Probability questions