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Random Variables, Expectation & Variance · Question 23 of 68

Question 23

MediumOriginal question

XX takes the values 0, 1, 2, 3 and 4 with probabilities 0.1, 0.2, 0.3, 0.25 and 0.15. What is P(1<X≤3)P(1 < X \le 3)?

Options for question 23

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 1<X≤31 < X \le 3 means X=2X = 2 or X=3X = 3.

  2. 0.3+0.25=0.550.3 + 0.25 = 0.55.

Worth noting

0.75 includes X=1X = 1; the sign before 1 is strict.

Concept
The probability of a range of values
Typical time
90 s
Your time
—
The rule this testsProbability distributions
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