Answer
$P(x\lt950)=.0573$
Work Step by Step
$P(x\lt950)=P(x\leq949)=P(z\leq\frac{(949+.5)-1000}{31.46})=P(z\leq-1.61)=P(z\geq1.61)=P(z\geq0)-P(0\leq z\leq1.61)=.5-.4463=.0573$
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