I would like to add a normal distribution inside a circle node using tikz package
\node[scale=4,circle, fill=blue!55!cyan!25] (Og1) at (0,0) {};
The area under the plot would be coloured if it is possible only the horizontal axis will appear without any ticks inside the node.

at (0,0), say, as in your code. The arrows are due to(-0.5*\x1,0) edge[-stealth] (0.48*\x1,0) (0,0) edge[-stealth] (0,0.48*\y1), where\x1is and\y1are the horizontal and vertical dimension of the bounding box, and equal two times the radius for a circle. – Nov 05 '20 at 21:40