Question 1183992
z=(x-mean)/sd
a. z < (70-80)/14 or -5/7. That probability is 0.2375
b. z> (95-80)/14 or 15/14. That probability is 0.1420
c. The probability for this is 1- the sum of the above two, since this is all that is left. It is 0.6205
Check with 2nd VARS 2 normalcdf (70,95,80,14) ENTER
d. 72nd percentile is where probability=0.7200 VARS 3invnorm (0.72,0,1) yields a z=0.5828
so (x-80)=0.5828*14=8.16
and the score would be 88.16 as a raw score or 88.