Question

3. Two people, P1 and P2, stand in line to catch a taxi at an airport. P1 is first in the queue. The taxis arrive according to a Poisson process with parameter λC. P1 and P2 get tired of waiting for a taxi if none arrive at a time T1 and T2 that are random variables that are distributed exponentially with parameter λ1 and λ2, respectively. Calculate the probability that P 1 is collected before giving up, and the same for P 2. Note: The joint distribution of two independent random variables x1 and x2 and exponentially distributed with pairings λ1 and λ2 is characterized by the expression f (x1, x2) = λ1λ2e- (λ1x1 + λ2x2).

Answer 1

서 2 0 2.