please solve it full please :(

1. Consider an image with 20 pixels. Each pixel is 3-bit with 8 intensity levels (0, 1, 2, ..., 7). The histogram of the image is given as 1 3 5 h 4 For this image, calculate the mean and the standard deviation of the pixel intensity. n 0 2 4 6 7 5 1 0 0 0 8 2 2. Explain why histogram equalization uses the following gray-level transformation: T(u) = round[(L 1) c(u)/N] where c(u) is the cumulative histogram, N is the total number of image pixels, and L is the number of intensity levels. n 0 1 2 3 4 5 6 8 9 10 11 12 13 14 15 3. Below are the histograms hi(n) and he(n) of two images f and f2 of size 100x100 pixels. Each pixel is 4-bit (16 gray levels 0, 1, 2,..., 15): 7 hi 0 10000 h2 1000 1800 2500 1900 1100 800 200 0 0 What will be the histogram h(n) of the sum image? 0 0 0 0 0 0 0 0 0 0 0 0 0 0 600 0 0 0 0 0 0 4. The image intensity values recorded by an imaging sensor vary between 0 and 5V. Suppose that the intensity values are to be quantized into 8 levels. (i) Find the dynamic range, resolution and SQNR of the quantizer. (ii) Assuming a mid-thread quantizer, find the quantization levels. (iii) What is the minimum required resolution to achieve an SQNR of at least 30 dB? 5. A monitor has a gamma of 0.4. Derive an expression for the gray-level transformation that will display images on the same monitor so that the monitor appears to have a gamma of 0.8