a) What is the probability that its tensile strength will lie between 6 and 12 MPa? th glue’s design tensile strength? (Note: the 10th percentile is the value, x10, such that b) Suppose that the design tensile strength of this glue is its 10 percentile. What is this ?? PX
-
6) There are many engineering properties which cannot be negative, and so cannot be modeled using a
normal distribution (since the normal distribution always has some probability of being 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?
th
glue’s design tensile strength? (Note: the 10th percentile is the value, x10, such that
b) Suppose that the design tensile strength of this glue is its 10
percentile. What is this
??
PX<x10 =0.1)
Step by step
Solved in 2 steps with 2 images
