The mean stress in a component is 140 MPa, whereas mean yield strength of the material of the component is 180 MPa. If both the parameters are normally distributed with standard deviation of 20 MPa, estimate the percentage of components likely to fail.
Solution: (Ref: Discussion in classroom)
Margin = Strength - Stress
Diagram of random variable x and f (x):

Diagram of standard variable z and f (z):
