High definition TVs use a format in which there are 1,920 × 1,080 pixels on the TV screen. Each of these pixels has 16 different brightness levels, and pictures are repeated at the rate of 30 frames per second. Assuming that all brightness levels are equally likely to occur, calculate the average rate of information conveyed by the TV. [Hint: If the rate at which source X emits symbols is r symbols/s, the information rate of the source is given by R = rH(X) bits/s. You can think of the TV screen as a source and all the brightness levels of the pixels as the set of possible outcomes of the source.]
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