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Suppose 10% of all vehicles do not have collision insurance. Three police officers are instructed to...

Suppose 10% of all vehicles do not have collision insurance. Three police officers are instructed to patrol three different districts. Each officer randomly stops 20 vehicles and checks for collision insurance. Assume independence between the police officers.

a. what is the probability that at least one of the officers finds 3 or more vehicles that do not have collision insurance?

b. what is the probability that exactly one of the officers finds 3 or more vehicles that do not have collision insurance?

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