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7. The number of deer crossing a road at night during mating season in a particular rural area can be modeled with a Poisson distribution.

7. The number of deer crossing a road at night during mating season in a particular rural area can be modeled with a Poisson distribution. A local survey conducted over 5 nights found a total of 15 deer crossings. Based on this information,

(a) What is the probability that fewer than two deer would cross on a given night during mating season in this area?

(b) What is the probability that exactly two would cross on a given night during mating season in this area?

(c) What is the probability that greater than one will cross on a given 2 night?

(d) What is the average number of deer cross during mating in this area in a given night and what is the standard deviation?

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