z score of 0 has 0.50 = area to the left
z score of slightly more than 0 will have 0.54 area to the left
Use a calculator with a statistics function or look it up on a z table. Several websites have online z tables or calculators. But you should get 0<z<1
if z=1, it would have 0.82 as the area to the left
.54 is far closer to .5 than to .82, so z will be far closer to 0 than to 1. .5 is within .04 to .54. .82 is within .26 to .54
.04/.26 = 2/13. 2/13 = about 0.15.
A rough guess is z = about 0.15
One on line z score calculator gave z=0.1 as the z score for Pr(x<.54) Just google z score calculator, and find the z score that corresponds to Pr(x<.54). That's the area under the normal curve.