I have computed a truncated normal distribution, which total probability density (i.e. area under the curve) is equal to 0.92.
The distribution represents well the reality of the phenomenon I am investigating, i.e. I am expecting that when x = 0 the probability will be positive (non-zero). The mode is also where I expected it to be. However, any non represented probabilities for x < 0 do not make physical sense, thus I would like to "rescale" my truncated distribution so that the total area under the density is 1 (not 0.92).
The distribution being asymetrical, how can I do this?