Answer:
(C) 0.368
Step-by-step explanation:
The<em> Poisson distribution </em>models the probability that an event occurs k times in a given fix interval of time.
Is defined by the probability function
where
<em>k = number of events in the given interval
</em>
<em> = average number of events in the given interval.
</em>
<em>
</em>
In our specific case, the given interval of time is 12 seconds, and = 1 (1 car every 12 seconds).
As the old wombat requires 12 seconds to cross the highway, it might survive if only 1 car arrives over those 12 seconds.
<em>The probability of this fact is P(1)
</em>
So, the right answer is (C), 0.368