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Vehicles carrying OccupyDurham protesters arrive at rate 30 per hour. 50 % are bicycles carrying one person 30 % are BMW's carrying two people 20

Vehicles carrying OccupyDurham protesters arrive at rate 30 per hour.

50 % are bicycles carrying one person

30 % are BMW's carrying two people

20 % are Prius's carrying four happy carpoolers

(a) What is the probability exactly 4 Prius's arrive between 12 and 12:30?

(b) Find the mean and standard deviation of the number of people which arrive in that half hour.

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