- 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 probability density function for a continuous uniform distribution is expressed as ______.

B. f(x) = 1/a, for x ≥ a, and f(x) = 0 otherwise

C. f(x) = 1/(b-a), for a ≤ x ≤ b, and f(x) = 0 otherwise

A. f(x) = 1/(b-a), for a ≤ x ≤ b, and f(x) = 1 otherwise

B. f(x) = 1/a, for x ≥ a, and f(x) = 0 otherwise

C. f(x) = 1/(b-a), for a ≤ x ≤ b, and f(x) = 0 otherwise

Correct Answer: C

By definition, f(x) = 1/(b-a) for a ≤ x ≤ b, and f(x) = 0 otherwise.

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**User Contributed Comments**
5

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

Janey |
so many formulas to remember!! |

whiteknight |
dint get this one ! any help ? |

wms3 |
if a is the low limit for x (say 1) and b is the high limit (say 3) then the area under f(x) must equal 1 so f(x) = 1/(3-1) or 1/2 from 1 to 3. to continue - from 1 to 5 it would be 1/4. it can be easier to memorize the purpose of the function and then back into it. |

lordcomas |
good understanding wms3. |

BossMan |
No idea why. Somebody explain? |