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Random Variables, Expectation & Variance · Question 63 of 68

Question 63

MediumOriginal question

Var(X)=4\text{Var}(X) = 4 and E(X)=3E(X) = 3. What is E(X2)E(X^{2})?

Options for question 63

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Var(X)=E(X2)−[E(X)]2\text{Var}(X) = E(X^{2}) - [E(X)]^{2}.

  2. E(X2)=4+9=13E(X^{2}) = 4 + 9 = 13.

Worth noting

9 is [E(X)]2[E(X)]^{2} alone; the variance must be added.

Concept
Using the variance formula backwards
Typical time
90 s
Your time
—
The rule this testsVariance and standard deviation
Practise this chapter →

Ten questions from Random Variables, Expectation & Variance, at your own pace.

Practise this chapter →

Ten questions from Random Variables, Expectation & Variance, at your own pace.