Q$2)(20$ pts$.)$ Consider the following $44$ image $A.$

$A=35453545$

$15352020$

$20252525$

$45152525$

a$)$ Derive the probability of occurences for each pixel grayscale value.

b$)$ How many bits are required in total to transmit A with fixed length bit coding?

c$)$ Apply Hufmann coding to find variable length codes for each grayscale level.

d$)$ Calculate the entropy of $A.$

Q$3)(28$ pts$.)($Quiz #$2)$ Answer the following questions.

a$)$ Suggest a spatial domain filter for salt and pepper noise.

b$)$ Write two noise models $($distributions$).$