- CFA Exams
- CFA Level I Exam
- Topic 1. Quantitative Methods
- Learning Module 4. Common Probability Distributions
- Subject 2. Probability Function
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.
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? |