Tom is bird watching in the arboretum. The times when he sights a meadowlark occur in accordance with a Poisson process with parameter 𝜆. The times when he sights a sparrow occur as a Poisson process...

Tom is bird watching in the arboretum. The times when he sights a meadowlark occur in accordance with a Poisson process with parameter 𝜆. The times when he sights a sparrow occur as a Poisson process with parameter 𝜇. Assume that meadowlark and sparrow sightings are independent.

(a) Find the probability that a meadowlark is seen first.

(b) Find the probability the one bird is seen by time t=1.

(c) Find the probability that one sparrow and two meadowlarks are seen by time t=2.