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in certain areas of the city, the Electricity power is cut randomly in a rate of 3/day find the probability that in any given day there are at least 7 cuts at most 4 cuts.

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Answer: This comes out to be 0.1031.

Explanation:

in this case, we are given that the rate of power cuts in the city is 3/day, so the rate parameter for our Poisson distribution is $\lambda=3$. We want to find the probability that there are at least 7 cuts but at most 4 cuts in a given day. This means we need to find the probability that $k=7$, $k=8$, $k=9$, ..., $k=4$. We can use the formula for the probability mass function to find the probability for each of these values of $k$ and add them together to get the total probability.

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