- CFA Exams
- CFA Exam: Level I 2021
- Study Session 3. Quantitative Methods (2)
- Reading 9. Common Probability Distributions
- Subject 2. Probability Function

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**CFA Practice Question**

The random variable, x, is uniformly distributed over the range of 0 to +10. The probability of observing a value of x=4 is closest to ______.

B. 10%

C. 40%

A. 0%

B. 10%

C. 40%

Correct Answer: A

The probability of observing a specific value for a continuous random variable is zero.

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**User Contributed Comments**
12

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

katybo |
tricky question. |

danlan |
Uniformly distributed means continuously |

surob |
Yeah, tricky one. |

gaur |
good que...no way I will get this if this shows up in the exam |

MattyBo |
Really tricky. Bonus if I get it right on exam. |

Shammel |
Thanks for clearing this up Danlan. Uniformly distributed = continuous. |

JakeZ |
If I guessed I might have got it... Sometimes its better to just guess if you dont have time to think carefuly lol |

azramirza |
No Danlan...Uniformly distributed can also be discreet..the fact that a range is given makes it continous. |

endurance |
because a continuous uniform distribution takes an infinite numbers of outcomes (i.e under each interval) the probability is zero. |

johntan1979 |
Range = infinity outcomes Any one value, x has 0% probability because x/all outcomes. |

Akiva |
azamirza, +1 So, answer A is correct only for continuous distribution, while answer B - for discrete. Proofs see on wiki Uniform distrbution (discrete and continuous) |

MathLoser |
I blame myself for not reading the study notes carefully. |