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Random Variables, Expectation & Variance · Question 33 of 68

Question 33

EasyOriginal question

E(X)=5E(X) = 5. What is E(3X−4)E(3X - 4)?

Options for question 33

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. E(aX+b)=aE(X)+bE(aX + b) = aE(X) + b.

  2. 3×5−4=113 \times 5 - 4 = 11.

Worth noting

15 forgets the −4-4; a constant shifts the mean.

Concept
The expectation of aX + b
Typical time
60 s
Your time
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The rule this testsMathematical expectation
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