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=74 GPa and a standard deviation of σ=1,55 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 x =(74+3) GPa?   b. What is the probability (in %) that a measurement will not exceed x =(74+1) GPa?   c. What is the probability (in %) that a measurement will be neither over x =(74-2) GPa, nor below x = (74+4) GPa?

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