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In: Statistics and Probability

Increasing the production of a machine reduces manufacturing costs and generates a culture of efficiency. The...

Increasing the production of a machine reduces manufacturing costs and generates a culture of efficiency. The distribution of maximum velocities of a group of machines is distributed normally, with a mean of 1200 units/hr and a deviation of 275 units/hr ;

a) What is the probability that a machine will surpass 1400 units/hr ?

b) To protect himself from future claims, the manufacturer of the machines plans to inform in the catalog a "maximum velocity" such that the probability of claims is 0.10 . What "maximum velocity" should appear in the catalog?

c) Finally, the manufacturer of the machines prints his catalog and shortly after, he sells 5. What is the probability that some buyer would make a claim due to the machine not reaching the "maximum velocity" informed?

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orchestra answered 1 year ago
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