91. A theoretical justification based on a certain material failure mechanism underlies the assumption that ductile strength
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91. A theoretical justification based on a certain material failure mechanism underlies the assumption that ductile strength X of a material has a lognormal distribution. Suppose the parameters are m 5 and s .1.
a. Compute E(X) and V(X).
m ~
b. Compute P(X 125).
c. Compute P(110 X
125).
d. What is the value of median ductile strength?
e. If ten different samples of an alloy steel of this type were subjected to a strength test, how many would you expect to have strength of at least 125?
f. If the smallest 5% of strength values were unacceptable, what would the minimum acceptable strength be?
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Related Book For 
Modern Mathematical Statistics With Applications
ISBN: 9780534404734
1st Edition
Authors: Jay L Devore
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