If the random variable X is exponentially distributed and the parameter of the distribution λ = 4,then P(X ≤ 1)= 0.25.

Question

Quizplus · Accepted Answer

For an exponentially distributed random variable X with rate parameter λ = 4, the probability that X is less than or equal to 1 is calculated using the formula $1 - e^{-\lambda x}$. Substituting λ = 4 and x = 1, we get $1 - e^{-4*1} = 1 - e^{-4}$, which is approximately 0.982, not 0.25.

If the Random Variable X Is Exponentially Distributed and the Parameter