In simulating values for an Exponential distribution,the larger the random number,the smaller the simulated value.

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Quizplus · Accepted Answer

This is true because for an exponential distribution, as the parameter lambda (which controls the rate of decay) increases, the probability of a large value decreases, leading to smaller simulated values. Additionally, for a continuous distribution like the exponential distribution, the probability density function decreases exponentially as the input value increases. Therefore, a larger random number (i.e. input value) will generate a smaller simulated value from the exponential distribution.

In Simulating Values for an Exponential Distribution,the Larger the Random