Asked by Kgonthe Mothupi on Sep 27, 2024
Verified
The probability density function f(x) of a random variable X that has a uniform distribution between a and b is
A) (b + a) /2
B) 1/b − 1/a
C) (a − b) /2
D) None of these choices.
Probability Density Function
A function that represents the probability of a random variable assuming a specific value.
Uniform Distribution
A type of probability distribution where all outcomes are equally likely; any one of several outcomes has an equal chance of occurring.
Random Variable
A variable that takes on a set of possible values, each with an associated probability, representing outcomes of a statistical experiment.
- Attain insight into the uniform distribution and its probability density function (PDF).
Verified Answer
BS
Brayam Solis2 days ago
Final Answer :
D
Explanation :
The probability density function (pdf) of a uniform distribution between a and b is given by f(x)=1b−af(x) = \frac{1}{b-a}f(x)=b−a1 for a≤x≤ba \leq x \leq ba≤x≤b , which is not listed among the options A, B, or C.
Learning Objectives
- Attain insight into the uniform distribution and its probability density function (PDF).