A parking lot has two entrances. Cars arrive at Entrance 1 according to a Poisson Probability Distribution at an average of thre
e per hour and at Entrance 2 according to a Poisson Probability at an average of four per hour. What is the probability that a total of three cars will arrive at the parking lot in a given hour. What is the probability that a total of three will arrive at the parking in a given hour? Assume that the numbers of cars arriving at the two entrances are independent. [Hint: This is hard but not as hard as you think].
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No, 
is not a subspace of 
. A simple counter-example to the contrary: let 
with 
. However, scaling by -1 gives the vector 
and 
.