Solve the problem.
-The time between major earthquakes in the Alaska panhandle region can be modeled with an exponential distribution having a mean of 620 days. Find the probability that the time between a major earthquake and the
Next one is less than 250 days.
A) 0.6682
B) 0.0011
C) 0.0005
D) 0.3318

Question

Quizplus · Accepted Answer

The exponential distribution is given by the formula $P(X < x) = 1 - e^{-\lambda x}$, where $\lambda = \frac{1}{\text{mean}}$. Here, the mean is 620 days, so $\lambda = \frac{1}{620}$. For $x = 250$, $P(X < 250) = 1 - e^{-\frac{250}{620}} \approx 0.3318$.

Solve the Problem. -The Time Between Major Earthquakes in the Alaska Panhandle Region