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In: Statistics and Probability

Tensile tests of a 3D printed material show that the average yield strength of that material...

Tensile tests of a 3D printed material show that the average yield strength of that material is about 800 MPa with a standard deviation of 40 MPa. Due to the variations of the process parameters, the yield strength can vary, and historical data show that yield strength of the material follows a uniform continuous distribution. Answer questions 1a to 1e using this information.

1.If yield strength of the material is uniformly distributed between 730.72 to 869.28, what is the expected value of yield strength of the material (in MPa)?

2.If yield strength of the material is uniformly distributed between 730.72 to 869.28, what is the variance of yield strength of the material?

3.If yield strength of the material is uniformly distributed between 730.72 to 869.28, what is the probability that the yield strength is between 760 to 790 MPa (round to 2 digits)?

4.If yield strength of the material is uniformly distributed between 730.72 to 869.28, find the value of yield strength x so that there is 20% chance that the yield strength does not exceed x (round to 2 digits).

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orchestra answered 2 years ago
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