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A developer at a online gaming company is trying to adjust the parameters of a new game so that users stay engaged. The game has four modes of play, and after completing each minigame, a new mode is chosen randomly; market research suggests players like to prefer to stay in one mode of play for a few minigames. but not too many. As the game is currently congured, the transitions between modes are govemed by a Markov process with the following transition table. Current Flag.r Mode In order to understand better how these transition probabilities translate into game play. she has performed an eigenvalue decomposition on the transition matrix, with the result' 11101_00001/41/41/41/4 110 1 0 0.60 0 l/4_1/41/4 '1/4 1110 0 00.401/2 0 1/2 0 1101 0 0 00.2 01/2 0 1/2