Question: On average, Alan needs 30seconds to solve a cube while Brian needs 20 seconds. Suppose the time they actually need to solve each of the

On average, Alan needs

30seconds to solve a cube while Brian needs 20 seconds. Suppose the time they actually need to solve each of the cubes follows independent exponential distributions (independent of each other, also independent on each cube). Suppose Brian solvesN cubes before Alan solves one successfully and suppose it takes Alan T seconds until he successfully solves his first cube. The distribution ofT|N = 4 is:

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