) What is the probability that its tensile strength will lie between 6 and 12 MPa? b) Suppose that the design tensile strength of this glue is its 10th percentile. What is this glue’s design tensile strength? (Note: the 10th percentile is the value, x10,
There are many engineering properties which cannot be negative, and so cannot be modeled
using a
negative). One such engineering property is the tensile strength of glue – it doesn’t make
sense that a glue’s tensile strength would be negative. A common non-negative distribution
used in engineering models is the lognormal, which is strictly non-negative and has a simple
relationship with the normal distribution. Suppose that a particular type of glue is is lognormally
distributed with mean 10 MPa and coefficient of variation 25%. If a random sample of this
glue is tested,
a) What is the probability that its tensile strength will lie between 6 and 12 MPa?
b) Suppose that the design tensile strength of this glue is its 10th percentile. What is this
glue’s design tensile strength? (Note: the 10th percentile is the value, x10, such that
P
X < x10
= 0
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