It's pretty easy to extend that idea to images. An image can be stored in a computer as a rectangular grid of pixels, each of which is assigned one color. Page 2 of 5 COMP 1900 - Spring 2023 Lab 1 Due Sun., Feb. 5, by 2359 Central You my have heard the term " 4k " before. A 4k image has a resolution of 3840 pixels (horizontally) by 2160 pixels (vertically). (a) (1 point) How many total pixels are there in a 4k image? (b) ( 1 point) Assume that each pixel takes 32 bits to store its color information (24 bits for the RGB components described earlier, plus an 8-bit alpha channel to control the amount of transparency). How many bits does it take to store the colors for all the pixels in a 4k image? You may have heard the term " 4k " before. A 4k image has a resolution of 3840 pixels (horizontally) by 2160 pixels (vertically). (a) (1 point) How many total pixels are there in a 4k image? (b) ( 1 point) Assume that each pixel takes 32 bits to store its color information ( 24 bits for the RGB components described earlier, plus an 8-bit alpha channel to control the amount of transparency). How many bits does it take to store the colors for all the pixels in a 4k image? (c) ( 1 point) Convert your previous answer into bytes. (By definition, 1 byte =8 bits.) (d) (2.points) A vide is simply a sequence of images (called frames) that are shown rapidly to produce the illusion of movement. Suppose you want to make a video consisting of 25 minutes of 4k gameplay at 90 frames per second for your YouTube channel. In theory, how many gigabytes of data does it take to store this video? (By definition, 1 gigabyte =1073741824 bytes.) For full credit, show all your calculations for these questions