Exercise 1 While taking bike rides with Chloe, we encounter squirrels according to a Poisson process with a rate of 0.5 squirrels per mile. a) (0.5) What is the probability of not encountering any squirrels in 1 mile? b) (0.5) What is the probability of not encountering any squirrels in 6 miles? c) (0.5) What is the probability of encountering exactly 4 squirrels in 10 miles? d) (0.5) What is the probability of encountering at least 2 squirrels in 10 miles? e) (0.5) On a 10 mile bike ride, broken into 10 mile-long increments, what is the probability that we encounter 0 squirrels on exactly 4 of these increments (and do encounter squirrels on the other 6 mile-long increments)