How to distribute a value X over Y periods to make it follow a normal distribution ?

How to distribute a value X over Y periods to make it follow a normal distribution ?

Example:

I have a value 16.77% and want to distribute over 36 months in normal distribution such that the peak is between 18th and 19th months.

I need to find out the value at each month such that the distributed value increases as it moves from month 1 to 18th and then decreases from 19th to 36th month.

Also, I need to have the value (X) and period(Y) as variables.

[Walter Roberson]

You cannot. The normal distribution is infinite in both directions but you want all of the value to be distributed over a finite range.

Perhaps we could interest you in a Beta distribution instead?

[Namrata Goswami]

Thanks. Let me check if Beta distribution suits my purpose.