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The duration of a given brand of tire follows a Normal distribution, which has an mean...

The duration of a given brand of tire follows a Normal distribution, which has an mean of 35,000 kilometers and a standard deviation of 4,000 kilometers. The quality of the tires has been determined by a committee of experts according to their duration: low (30%), fair (45%) and high (25%).

1) What are the scores that mark the passage from one group to the other?

2) A tire is selected, what is the probability that it lasts more than 38000 kilometers?

3) Out of four tires randomly selected from a large warehouse, what is the probability that three of them are of high quality?

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