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Mechanical Vibrations in a Steel Beam

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Twenty-five samples of steel beam were chosen and tested for Young's Modulus. Eight had a modulus of E = 30 x 10^6 psi. Two had a modulus of E = 29 x 10^6 psi. Fifteen had a modulus of E = 30. x 1-^6 psi.

Estimate the following probabilities:
i) P {E > 29.5 x 10^6 psi}
ii) P {E > 30 x 10^6 psi}
iii) P{E > 28 x 10^6 psi}

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Solution Summary

This solution includes calculations and answers for (i) through (iii) in determining the probabilities of the modulus being larger than a specific value. All steps are shown with brief explanations.

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Answer: Since twenty-five steel beams were chosen and 8 had Young's modulus = 30 ? 10^6 psi; 2 had Young's modulus = 29 ? 10^6 psi and 15 had young's modulus = 30.5 ? ...

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