Q$1)$ pts$.)$ Consider the following gravscale $8-$bit digital image for the questions $1$ and $2.$

Pixel values

$\backslash$table$[[65,25,55,65,25],[10,55,55,25,25],[25,25,65,10,65],[25,25,10,10,25],[25,65,10,25,10]]$

a$)$ Draw the histogram.

b$)$ Derive the probabilities for each gray level value.

c$)$ Apply histogram equalization $.$

d$)$ Re$-$draw the histogram.