Asked by Donovan anderson on Sep 28, 2024
Verified
If the mean of an exponential distribution is 2,then the value of the parameter λ is
A) 0
B) 2.0
C) 0.5
D) 1.0
Exponential Distribution
A probability distribution used to model the time between events in a process where events occur continuously and independently at a constant rate.
Parameter
A measurable feature or characteristic that helps to define or classify a system, often a constant in mathematical models and statistical analyses.
- Recognize the parameter λ in exponential distributions and appreciate its link to the mean and variance.
- Work out the mean, central value, variance, and measure of dispersion for exponential distributions.
Verified Answer
RO
Rogelio Ochoaabout 2 hours ago
Final Answer :
C
Explanation :
The mean of an exponential distribution is given by 1/λ, so if the mean is 2, then 1/λ = 2, which implies λ = 0.5.
Learning Objectives
- Recognize the parameter λ in exponential distributions and appreciate its link to the mean and variance.
- Work out the mean, central value, variance, and measure of dispersion for exponential distributions.
Related questions
If the Random Variable X Is Exponentially Distributed with Parameter ...
If X Has an Exponential Distribution with Parameter λ,Then the ...
If the Parameter of an Exponential Distribution Is 1,then Which ...
Which of the Following Is True for an Exponential Distribution ...
If the Random Variable X Is Exponentially Distributed with Parameter ...