Let {Yn : n ≥ 1} be a sequence of independent and identically distributed random variables, where Yi ~ Bernoulli(12). Define Z = ∑n=1∞ 4 Yn5n. Then, which of the following statements is true?

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Mathematics · Probability and Statistics

Verified Solution4 OptionsUpdated: October 2026👁️1 View

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P(Z ≥ 35) = 0.5, P(Z = 425) = 0

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Answer 1

P(Z ≥ 35) = 0.8, P(Z = 425) = 0.16

Answer 2

P(Z ≥ 35) = 0.7, P(Z = 425) = 0.16

Answer 3

P(Z ≥ 35) = 0.6, P(Z = 425) = 0

Answer 4

P(Z ≥ 35) = 0.5, P(Z = 425) = 0

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