An automotive component has been designed to withstand certain stressed.
It is known from the past experience that, because of variation in loading,
the stress on the component is normally distributed with a mean of 30000
kPa and a standard deviation of 3000 kPa. The strength of the component
is also random because of variation 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. Determine the reliability of the component.
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