Assume that the Young’s modulus measurements of an aluminum piece produced by a casting process follow a normal distribution with a mean of μ=72 GPa and a standard deviation of σ=1,54 GPa. The manufacturer knows this from millions of parts that have been produced over the years. a. What is the probability (in %) that a measurement will exceed x1=(72+3) GPa? b. What is the probability (in %) that a measurement will not exceed x1=(72+1) GPa? c. What is the probability (in %) that a measurement will be neither over x1=(72-2) GPa, nor below x2=(72+4) GPa?

Assume that the Young’s modulus measurements of an aluminum piece produced by a casting process follow a normal distribution with a mean of μ=72 GPa and a standard deviation of σ=1,54 GPa. The manufacturer knows this from millions of parts that have been produced over the years. a. What is the probability (in %) that a measurement will exceed x1=(72+3) GPa? b. What is the probability (in %) that a measurement will not exceed x1=(72+1) GPa? c. What is the probability (in %) that a measurement will be neither over x1=(72-2) GPa, nor below x2=(72+4) GPa?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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a. What is the probability (in %) that a measurement will exceed x1=(72+3) GPa?

b. What is the probability (in %) that a measurement will not exceed x1=(72+1) GPa?

c. What is the probability (in %) that a measurement will be neither over x1=(72-2) GPa, nor below x2=(72+4) GPa?

d. We want to expect 971 out of 1000 times that a measurement is within ± 1 GPa of the mean. What would the standard deviation have to be for this?

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