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 probability that it will take more than 10 minutes for the next student to arrive is given by the survival function of the exponential distribution: P(X > 10) = exp(-10/4) = exp(-2.5) ≈ 0.082085.

Let X Represent the Amount of Time Until the Next