Answer
$P(x ̅\gt0)=0.4641$
Work Step by Step
$μ_ {x ̅}=-0.05$ and $σ_{x ̅}=0.576$
Let's fint the z-score for 0:
$z=\frac{X-μ_ {x ̅}}{σ_{x ̅}}=\frac{0-(-0.05)}{0.576}=0.09$
According to Table V, the area of the standard normal curve to the left of z-score equal to 0.09 is 0.5359.
But, we want the area of the standard normal curve to the right (greater than 0) of z-score equal to 0.09:
$1-0.5359=0.4641$
