Add Gaussian Noise to a specific channel in an image

from PIL import Image
import matplotlib.pyplot as plt
import numpy as np 


def gauss_noise(img):
    row,col,ch= img.height, img.width,3 
    
    loc = 0
    scale=30

    red, green, blue = img.split()

    for y in range(img.height):
        for x in range(img.width):
            gauss = np.random.normal(loc,scale)
            # print(x)
            # print(gauss)
            value = img.getpixel((x, y))
            # image_red = value + gauss
            image_red = (value[0] + int(gauss), value[1], value[2])
            print(int(gauss))
            img.putpixel((x, y), image_red)
      
    return img

    
file_path = "/home/cat.jpg"
img = Image.open(file_path)

out=gauss_noise(img)
out.save('gauss.png')

plt.imshow(out)
plt.show()