Question 1069362
While you can use the table, and it is worth learning, the calculator can be used, too.
2nd VARS 2 normal cdf
-2.46,-0.16 ENTER
0.4295.  This makes sense, because it is almost half of the curve from -3 to 0.
-------------
For -z <Z  < z= 0.5588
This is centered on z=0
half of this is 0.2794
Therefore, from the table, you want where z is 0.5+/- 0.2794, or where the prob is 0.2206 and 0.7794
this is at 0.77 and -0.77.  Find the four digit probability in the middle of the table and look to the left margin for the unit or tenth of a unit.  The top margin will be the hundredths of a unit.  Most of the time, a z to the nearest hundredth is what is desired.  This should be symmetrical, and it is.