output of a normal distribution which have non linear relationship

[adiputra]

There are 2 parameters x (input) and y (output) with the relation where y= 100*EXP(2*x/50)/298095.7987*100. Assuming the distribution of x is normal distribution, May I know how we can get the mean and standard deviation of the y (output)? As in a distribution of x where the mean is 150 and standard deviation of 6 will have very different y mean and standard deviation to a distribution of x where the mean is the same @ 150 and standard deviation is larger at 25.