It does not change it will always stay at the same y but just different x. The rate of change/slope is the change in y divided by a corresponding change in x.
Mean=0.48 standard deviation=0.01 thus using the z-score: P(x>0.5) we shall have the following: z=(0.5-0.48)/0.01=2 thus P(x>0.5) =1-P(x<0.5) =1-P(z<2) =1-0.9772 =0.0228
