I have three equations Y=f(t) with each equation corresponding to a probability as shown below.
Y1=f(t) with probability of 0.05%
Y2=f(t) with probability of 5% and
Y3=f(t) with probability of 50%
If we assume that these probabilities belong to a normal distribution how can I work out the equations for 99.95% and 95%probability.In other words I would like to mirror Y1 and Y2.
The idea is to plot all the equations of 0.05%,5%,50%,95% and 99.95% probability in the same plot and create a 3D surface where the axis will be Y,t and P(probability) or even better generate the equation of P=f(Y,t) that will describe this surface.
Any ideas/suggestions are more than welcomed