All of the following approaches can be used to simulate an exponentially distributed random variable (.RN is a random number between 0 and 1.0) except
A) $\left(T=-\frac{1}{\lambda} \ln (\cdot R N)\right)$
B) $\left(T=-\frac{1}{\lambda} \ln (1-. R N)\right)$
C) $\left(T=\frac{1}{\lambda} \ln (\cdot R N)\right)$
D) $(T=-\mu \ln (\cdot R N))$, where $\mathrm{T}$ is average time

Question

Quizplus · Accepted Answer

Option C is incorrect because it uses a positive fraction in front of the logarithm, which would not correctly simulate an exponentially distributed random variable. The correct formula involves a negative fraction to ensure the exponential distribution's properties are maintained.

All of the Following Approaches Can Be Used to Simulate (T=−1λln⁡(⋅RN))\left(T=-\frac{1}{\lambda} \ln (\cdot R N)\right)(T=−λ1​ln(⋅RN))

All of the Following Approaches Can Be Used to Simulate $\left(T=-\frac{1}{\lambda} \ln (\cdot R N)\right)$