1. Consider a point on the Trans-Australian Highway, where two old wombats live. Arrivals of;cars at this point follow a Poisson distribution, the average rate of arrivals is 1 car per 12;seconds.;a. One of these old wombats requires 12 seconds to cross the highway, and he starts out;immediately after a car goes by. What is the probability he will survive?;b. Another old wombat, slower but tougher, requires 24 seconds to cross the road, but it;takes two cars to kill him. (A single car won?t even slow him down.) If he starts out at a;random time, determine the probability that he survives.;c. If both wombats leave at the same time, what is the probability that exactly one of them;survives?
Paper#25306 | Written in 18-Jul-2015Price : $34