Question

Consider a point on the trans australian highway, where two wombats live. Arrival of cars at this point follows a poisson distribution; the average rate of arrivals is 2 cars per 20 seconds. One of these wombats requires 20 seconds to cross the highway. he's a tough old wombat. it takes 2 cars to kill him. A single car doesn't even slow him down. The other wombat is younger and faster. it takes him 10 seconds to cross the highway. but he is not as tough. it takes only one car to kill him.

a)what is the probability that both of them survive? Four decimals

b) what is the probability that both of them perish?

Answer 1