Em uma cidade, a porcentagem de ocorrência de mortes violentas anuais é de 7,5% do total de mortes. Supondo que a população da cidade é de 1.200.00...

Para calcular a probabilidade de haver, no máximo, 4 mortes violentas nessa cidade na próxima hora, podemos utilizar a distribuição de Poisson. A fórmula para calcular a probabilidade de um determinado número de eventos ocorrer em um intervalo de tempo é dada por: P(x) = (e^(-λ) * λ^x) / x! Onde: - P(x) é a probabilidade de ocorrerem x eventos; - e é a base do logaritmo natural (aproximadamente 2,71828); - λ é a taxa média de ocorrência de eventos por unidade de tempo; - x é o número de eventos que queremos calcular a probabilidade. No caso, a taxa média de ocorrência de mortes violentas anuais é de 7,5% do total de mortes. Portanto, podemos calcular a taxa média de ocorrência de mortes violentas por hora da seguinte forma: λ = (7,5% * total de mortes) / (365 dias * 24 horas) Substituindo os valores, temos: λ = (0,075 * 1200000) / (365 * 24) λ ≈ 34,25 Agora, podemos calcular a probabilidade de haver, no máximo, 4 mortes violentas na próxima hora: P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4) Calculando cada uma das probabilidades: P(0) = (e^(-34,25) * 34,25^0) / 0! ≈ 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