Uniform Distribution - Find the Min Value

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Statistics Question

Prompt: Penguins appear warmer than their background (remember penguins are mammals). Suppose that on a given island, thermal values for a colony of penguins are uniformly distributed with a maximum thermal value of 18 C. It has been reported that 20% of colonies report a thermal value of at least 15 C.

Based on this information, determine the minimum thermal value for colonies on the Island.

My work:

(18-15) 3 (for the 20% of the data) 3 * 5 = 15 18 - x = 15 --> x = 3.

Therefore the min temperature of the thermal value is 3 degrees C.