Question 1076610
z=(x-mean)/sd.  The concept of a test statistic being the (value-mean)/std dev appears everywhere in statistics.
want z < (213.98-343.11)/110.24=-1.171
want area less than that for z.  Go to calculator (see below) want left end--some use -9999, but -6 is a far enough sd to take in the left end, then comma then the answer you have here.  Hit enter, and the probability appears.
probability is 0.1207
===========================
want z<1.25 which is 5/4 sd above the mean
0.8944 is probability
===========================================
Standard normal distribution
z=(x=mean)/sd=(0.4-0)/1=0.4
want the z less than 0.4  This can be found in a table or on a calculator
2nd + VARS+2+(-6,0.4)+ENTER, and probability is 0.6554.