- CFA Exams
- CFA Exam: Level I 2021
- Study Session 3. Quantitative Methods (2)
- Reading 9. Common Probability Distributions
- Subject 4. The Discrete Uniform Distribution

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**CFA Practice Question**

Suppose you have a discrete uniform probability function such that p(X = x) = 20% for X values of 0, 1, 2, 3, and 4. Find F(4).

B. 20%

C. 100%

A. 0%

B. 20%

C. 100%

Correct Answer: C

F(4) is the probability that the function takes on values less than or equal to 4. So, F(4) = p(0) + p(1) + p(2) + p(3) + p(4) = 0.20 + 0.20 + 0.20 + 0.20 + 0.20 = 1 = 100%.

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**User Contributed Comments**
6

User |
Comment |
---|---|

riche |
uniform distributed means continuos |

surob |
Not necessarily. It can be discrete too. |

gaur |
Remember it asked for "F"(4) and not "p"(4), p(4) =20%. F(4) = 100 'coz thats cumulative |

madhi |
If the individual probabilities of all possible outcomes are equal, then, we can say that their distribution is uniform (Apply for both continuous and discrete distributions) |

CFAonTheBrain |
so if it picks F(3) it's 80%? |

Jurrens |
Right, F(3) = 80%, this is only known because it is uniformly distributed |