Asked by Brandon Trejo on May 25, 2024

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If the random variable X is exponentially distributed with parameter λ = 5,then the variance of X,σ2 = V(X)= 0.04.

Exponentially Distributed

Describes the time between events in a process in which events occur continuously and independently at a constant average rate.

Parameter λ

A symbol often used to denote a specific parameter in mathematical or statistical expressions, such as the rate parameter in an exponential distribution.

Variance

A measure of the dispersion or spread of a set of data points around their mean, indicating how much the data points differ from the mean.

  • Gain an understanding of, and put into practice, the concepts relevant to the exponential distribution in situational applications.
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Verified Answer

MS
Muhammad shariefMay 27, 2024
Final Answer :
True
Explanation :
The variance of an exponentially distributed random variable X with rate parameter λ is given by 1/λ^2. Therefore, for λ = 5, the variance V(X) = 1/λ^2 = 1/25 = 0.04.