The number of stork sightings on a route in South Carolina follows a Poisson process with a mean of 2.3 per year.

(a)
What is the mean time between sightings?

(b)
What is the probability that there are no sightings within three months (0.25 years)?

(c)
What is the probability that the time until the first sighting exceeds six months?

(d)
What is the probability of no sighting within three years?

Question

The number of stork sightings on a route in South Carolina follows a Poisson process with a mean of 2.3 per year.
	
(a)  
What is the mean time between sightings?

(b)  
What is the probability that there are no sightings within three months (0.25 years)?

(c)  
What is the probability that the time until the first sighting exceeds six months?

(d)  
What is the probability of no sighting within three years?

anonymous · Answer

@amistre64 hey any help with this question ?

amistre64 · Answer

are we to use a stats calculator?

amistre64 · Answer

$$P(X=x)=e^{-\mu}\frac{\mu^x}{x!}$$

amistre64 · Answer

1 year, divided by 2.3 should give an average time between sightings .....

amistre64 · Answer

we can adjust the mean for a 3 month period, by dividing it by 12 and multiply it by 3 ....

amistre64 · Answer

c reads weird to me

amistre64 · Answer

any of this ring a bell?