Let X represent the amount of time until the next student will arrive in the library parking lot at
The university.If we know that the distribution of arrival time can be modeled using an
Exponential distribution with a mean of 4 minutes (i.e.the mean number of arrivals is 1/4 per
Minute), find the probability that it will take more than 10 minutes for the next student to arrive
At the library parking lot.
A) 0.917915
B) 0.670320
C) 0.329680
D) 0.082085

Question

Quizplus · Accepted Answer

The exponential distribution with a mean of 4 minutes has a rate parameter λ = 1/4. The probability that it takes more than 10 minutes is given by P(X > 10) = e^(-λ*10) = e^(-10/4) = e^(-2.5) ≈ 0.082085.

Let X Represent the Amount of Time Until the Next