a) Considerando que a situação apresentada se encaixa em uma distribuição binomial, onde o sucesso é a intenção de voto no candidato A, podemos determinar os eleitores aleatórios como tentativas independentes. Portanto, a probabilidade de X = 6 é dada por P(X = 6) = (n! / (x! * (n - x)!) * p^x * (1 - p)^(n - x)), onde n é o número de eleitores aleatórios, x é o número de sucessos, p é a probabilidade de sucesso e ! representa o fatorial. Substituindo os valores, temos P(X = 6) = (150000000! / (6! * (150000000 - 6)!) * 0,06^6 * (1 - 0,06)^(150000000 - 6)) ≈ 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