Suppose the life of a computer can be modeled with an exponential random variable with parameter $\lambda$=(1/10) aka, .1 computers crash per year. How would I find the probability that exactly 14 crashes will occur in a month?
So, I think that lambda = $\frac1{120}$ crashes per month and I think I need to find Pr(X=14). Based on the top answer from this question, I think I'm calculating:
$$ P_{14}(t) = \frac{(\frac1{120} *1)^{14}}{14!} e^{\frac1{120} *1}$$
(since t = 1 month, assuming there are 30 days in a month)
But I'm not quite sure that I'm doing this correctly.