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Random Variables, Expectation & Variance · Question 41 of 68

Question 41

MediumOriginal question

P(X=x)=x10P(X = x) = \frac{x}{10} for x=1,2,3,4x = 1, 2, 3, 4. What is E(X)E(X)?

Options for question 41

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. E(X)=∑x⋅x10=1+4+9+1610E(X) = \sum x \cdot \frac{x}{10} = \frac{1 + 4 + 9 + 16}{10}.

  2. =3010=3= \frac{30}{10} = 3.

Worth noting

1 is the sum of the probabilities, which is always 1.

Concept
The expected value from a formula
Typical time
90 s
Your time
—
The rule this testsMathematical expectation
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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.