An automotive component has been designed to withstand certain stresses. It is known from past experience that because of variations in loading the stress on the component is normally distributed with a mean of
35000 kPa and a standard deviation of 3000 kPa. The strength of the component is also random because of variations in the material characteristics and the dimensional tolerances. It has been found that the strength is normally distributed with a mean of 40000 KPa and a standard deviation of 4000 kPa. Let x denote the stress on a given component and let y denote the strength of that component. The component does not fail if x is less than y. The Reliability may be expressed as P[XA second approach is to compute a binary variable having the value 1 if X