The two-bar truss with pinned joints shown below is subject to a normally distributed load...

The two-bar truss with pinned joints shown below is subject to a normally distributed load P whose mean value is 1000 lb and whose standard deviation is 200 lb. Bars 1 and 2 are circular stock whose normally distributed yield strength in psi are characterized as

The only available stock sizes for bars 1 and 2 are in increments of 0.1 in.2 of cross-sectional area. Select the bar diameters so that both 1 and 2 have a probability of yielding of ≤0.005. Based on your design choices, what is the probability of the truss failing due to yielding in at least one of its legs?