Question: 57. The number of storms in the upcoming rainy season is Poisson distributed but with a parameter value that is uniformly distributed over (0, 5).

57. The number of storms in the upcoming rainy season is Poisson distributed but with a parameter value that is uniformly distributed over (0, 5). That is, is uniformly distributed over (0, 5), and given that = λ, the number of storms is Poisson with mean λ. Find the probability there are at least three storms this season.

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