Asked by Donovan anderson on Sep 28, 2024

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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.
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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.