A theoretical justification based on a certain material failure mechanism underlies the assumption that ductile strength of a material has a lognormal distribution. Suppose the values of the parameters are μ=5 and σ=0.1.
a. Find the mean strength.
b. Find the median strength.
c. What proportion of material specimens have a ductile strength between 110 and 130?.
d. If the smallest 5% of strength values were unacceptable, what would be the minimum acceptable strength?