Answer
For x = 0.49
$z = \frac{x-μ}{σ}$
$z = \frac{0.49 - 0.51}{0.009} \approx -2.22$
For$ x = 0.53
$
$z = \frac{0.53 - 0.51}{0.009} \approx 2.22$
Using Table A to determine corresponding probability:
$P(-2.22 < V < 2.22) = 1 - 2P( z < -2.22) $
$= 1 - 2 (0.0132)$
$= 0.9736$
Work Step by Step
As given above
