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A) If 25% of all vehicles at a certainemissions inspection failed the inspection. Assuming thatsuccessive vehicles pass or fail independently of one another.Calculate the following probabilities:

At least seven of the last 40 vehicles inspected failed.

0.9038

B) If 25% of all vehicles at a certainemissions inspection failed the inspection. Assuming thatsuccessive vehicles pass or fail independently of one another.Calculate the following probabilities:

In between 15 and 18 of the last 20 inspected passed

0.5929

C) If 25% of all vehicles at a certainemissions inspection failed the inspection. Assuming thatsuccessive vehicles pass or fail independently of one another.Calculate the following probabilities:

Given that less than 5 of the last 25 vehicles inspected failed,what is the probability that less than 3 of the 25 vehiclesinspected failed?

0.1502

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