Question

3. In the 2017 video game hit Legend of Zelda: Breath of the Wild, you must collect star fragments to upgrade your armor to the highest levels. You decide to explore the mechanic behind how these rare items are generated in the game. Suppose you have this partial knowledge: . A star fragment will appear once per night, sometime after 9 PM (using the in-game clock) . Once the clock reads θ (a particular, unknown time of day), star fragments no longer appear . The game uses a random number generator to decide on the spawn time for the star fragment where each time between 9 PM and θ is equally likely It is important for the gaming community to learn what θ is because this helps users understand the game and saves people time: If you know the time is past θ, you will stop waiting for the star fragment (which you missed!) and plan on trying again the next night. To help the community, you plan to record the appearance time for 6 star fragments on 6 random (in-game) nights. You get: x1 11:20 PM. x2 = 1:20 AM. x3-12:20 AM. z4 10:00 PM. x5 1:05 AM. and x6 = 11:55 PM. Find the MME for θ based on these six data points

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9:00 Pm (47-26) oy dafe will be \1:20, 13:20, 12.20, 10:00 13:05lliçç, noLu 6

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