Suppose that 8 balls are put into 4 boxes, with each ball independently being put in box i with probability p i , 4 i 1 p i 1 Find the expected number of boxes that have at most 1 ball What is the expected number of boxes when a) p 1 p 2 p 3 p 4 0 25 and b) p 1 1, p 2 p 3 p 4 0

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Question: Suppose that 8 balls are put into 4 boxes, with each ball independently being put in box i with probability p i , 4 i=1

Suppose that 8 balls are put into 4 boxes, with each ball independently being put in box i with probability p_i , ⁴_i=1 p_i = 1. Find the expected number of boxes that have at most 1 ball. What is the expected number of boxes when a) p₁ = p₂ = p₃ = p₄ = 0.25 and b) p₁ = 1, p₂ = p₃ = p₄ = 0.

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