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In: Math

Answers are in bold under questions. I just need to know how to get them, so...

Answers are in bold under questions. I just need to know how to get them, so Please show work!!

A) If 25% of all vehicles at a certain emissions inspection failed the inspection. Assuming that successive 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 certain emissions inspection failed the inspection. Assuming that successive 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 certain emissions inspection failed the inspection. Assuming that successive 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 vehicles inspected failed?

0.1502

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