CFA Practice Question

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CFA Practice Question

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

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?
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