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The number of times a speed camera takes a picture during rush hour follows a Poisson distribution. On average, 52 pictures are taken during rush

The number of times a speed camera takes a picture during rush hour follows a Poisson distribution. On average, 52 pictures are taken during rush hour.

Does this problem describe a discrete or continuous random variable?
Calculate the mean and variance of this distribution.
What is the probability the speed camera takes 60 pictures during rush hour?
What is the probability the speed camera takes more than 40 pictures during rush?
What is the probability the speed camera takes less than 50 pictures during rush?

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