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Part 1 A small construction crew in northwestern Canada is about to start road work on a mining road. The work is not too difficult

Part 1

A small construction crew in northwestern Canada is about to start road work on a mining road. The work is not too difficult and it will only take one day. Since this road is in a pretty remote area, not many vehicles drive on it. The amount of daily traffic follows a uniform distribution with daily vehicles ranging from 5 to 20.

A: Given this discrete uniform distribution, what is the probability that the number of cars stopped by this construction will be 14 or 15?

B: What is the probability that the construction crew will stop less than 10 cars?

Part 2

Another construction crew in northern Canada is about to start road work on a logging road. Being minor, their work will only take a single day. Since this road is far from civilization, not many vehicles drive on it. The amount of daily traffic follows a poisson distribution with = 4 .

A: Given this Poisson distribution, what is the probability that the number of cars stopped by this construction will be 4?

B: What is the probability that the construction crew will stop more than 4 cars?

Part 3

third small construction crew in northeastern Canada is about to start road work on a road that connects two small fishing villages. Being minor, their work will only take one day. Since this road is in a remote area, not many vehicles drive on it. The amount of daily traffic follows the following distribution.

Number of Drivers Probability

1 0.212
2 0.219
3 0.196
4 0.216
5 0.157

A: Given this distribution, what is the probability that the number of cars stopped by this construction will be 3 or 5?

B: What is the probability that the construction crew will stop more than 3 cars?

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