Adesign has an expected distribution of stress with a mean value of 1 mpa and a standard deviation of 0.3 mpa. the strength of the design is expected to have a mean value of 2 mpa and a standard deviation of 0.2 mpa. both can be assumed to be normal distributions. what is the expected failure rate of the design?

P=0.0028

Explanation:

For x:

Mean = 1 MPa

Standard deviation = 0.3 MPa

For y:

Mean = 2 MPa

Standard deviation = 0.2 MPa

Let failure is denoted by F, then F will also follow normal distribution.

F= y-x

Mean

Standard deviation

The failure probability given as

Now from chart P=0.0028

answer:

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