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Random Variables, Expectation & Variance · Question 16 of 68

Question 16

EasyOriginal question

XX takes the values 0, 1, 2 and 3 with probabilities 0.1, 0.3, 0.4 and 0.2. What is P(X≤2)P(X \le 2)?

Options for question 16

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. P(X≤2)=P(0)+P(1)+P(2)P(X \le 2) = P(0) + P(1) + P(2).

  2. 0.1+0.3+0.4=0.80.1 + 0.3 + 0.4 = 0.8, or 1−P(3)=1−0.21 - P(3) = 1 - 0.2.

Worth noting

0.4 is P(X=2)P(X = 2) alone.

Concept
The probability of a range of values
Typical time
60 s
Your time
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The rule this testsProbability distributions
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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.