Asked by Hunter Thomas on Sep 27, 2024
Verified
Which of the following does not represent a continuous uniform random variable?
A) f(x) = 1/2 for x between −1 and 1,inclusive.
B) f(x) = 10 for x between 0 and 1/10,inclusive.
C) f(x) = 1/3 for x = 4,5,6.
D) None of these choices represents a continuous uniform random variable.
Continuous Uniform
A distribution that assigns an equal probability to all outcomes in a continuous range.
Random Variable
A variable whose possible values are outcomes of a statistical experiment, where the value is determined by chance.
- Identify characteristics of continuous versus discrete distributions.
Verified Answer
FM
Fidelis Maphosaabout 20 hours ago
Final Answer :
C
Explanation :
A continuous uniform random variable has a constant probability density function (PDF) over a range of values. Options A and B both have a constant PDF over a range of values and thus represent continuous uniform random variables. However, option C has a PDF of 1/3 only at specific points (4, 5, and 6) and thus does not represent a continuous uniform random variable. Option D is not the answer since options A and B represent continuous uniform random variables.
Learning Objectives
- Identify characteristics of continuous versus discrete distributions.