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=68 GPa and a standard deviation of σ=1,51 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=(68+3) GPa?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 8E
icon
Related questions
Question

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=68 GPa and a standard deviation of σ=1,51 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=(68+3) GPa?

Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill