An average of 8 Illinois residents die per day due to opioid overdose. Let us consider that the number of opioid overdose deaths per day in Illinois follows a Poisson distribution with an average of 8

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An average of 8 Illinois residents die per day due to opioid overdose. Let us consider that the number of opioid overdose deaths per day in Illinois follows a Poisson distribution with an average of 8.

What is the probability of having at least one opioid overdose death on a given day?

The number of admissions of COVID patients requiring intensive care in a given hospital follows a Poisson distribution and has averaged 2 per day. The hospital has 3 beds available today in the COVID intensive care unit (ICU).

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What is the probability that the hospital will refuse at least one COVID patient requiring intensive care today because the ICU will end up full?

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