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Random Variables, Expectation & Variance · Question 35 of 68

Question 35

EasyOriginal question

XX takes the values 1, 2, 3 and 4 with probabilities 0.1, 0.2, 0.3 and 0.4. What is E(X)E(X)?

Options for question 35

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. E(X)=∑x P(X=x)E(X) = \sum x\,P(X = x).

  2. 0.1+0.4+0.9+1.6=30.1 + 0.4 + 0.9 + 1.6 = 3.

Worth noting

2.5 averages the values as if they were equally likely.

Concept
The expected value from a table
Typical time
60 s
Your time
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The rule this testsMathematical expectation
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