A two$-$bar symmetric pin$-$connected truss shown below is subject to a nominally vertical

load of $1000lb$ acting at point A$.$ Misalignment of the load occurs randomly about the

vertical axis of symmetry according to a normal distribution with a mean of vec$()=0$ and a

standard deviation of $s_{}=10.$ Select the cross$-$sectional area of the steel legs

$(y=30,000)$ so that the probability of failure of the truss is $0\mathrm{.}001.$ All parameters

except for the orientation of the load are deterministic.