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What is the probability that exactly 4 droids will arrive

Protocol droids arrive in General Organa's quarters at an average rate of 5 droids every 2 minutes. If the arrival of droids assumes a Poisson distribution, calculate the following:

What is the probability that exactly 4 droids will arrive in 2 minutes?
What is the probability that fewer than 5 will arrive in 4 minutes?
What is the probability that 9 or more will arrive in 2 minutes?
What is the probability that no droids will arrive in 1 minute?
If the probability that a droid arrives is 0.04% and we have a sample of 250 droids, what is the standard deviation of the Poisson distribution.

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Basic Computer Science: What is the probability that exactly 4 droids will arrive

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