Suppose that x has an exponential distribution with $$\theta = 5 . \text { Find } P ( x \leq 10 )$$
A) 0.135335
B) 0.864665
C) 0.606531
D) 0.393469

Question

Quizplus · Accepted Answer

The cumulative distribution function (CDF) for an exponential distribution with parameter $\theta$ is given by $P(x \leq t) = 1 - e^{-t/\theta}$. Substituting $\theta = 5$ and $t = 10$, we get $P(x \leq 10) = 1 - e^{-10/5} = 1 - e^{-2} \approx 0.864665$.

Suppose That X Has an Exponential Distribution With θ=5. Find P(x≤10)\theta = 5 . \text { Find } P ( x \leq 10 )θ=5. Find P(x≤10)

Suppose That X Has an Exponential Distribution With $\theta = 5 . \text { Find } P ( x \leq 10 )$