Probability Questions from Nov 13,2024

Browse the Probability Q&A Archive for Nov 13,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Um grupo de 20 pessoas está aguardando ser chamado em uma espera. Como as pessoas serāo chamadas aleatoriamente, a probabilidade de uma dessas pessoas ser chamada é de (A) \( 5 \% \) (B) \( 10 \% \). (C) \( 20 \% \). (D) \( 50 \% \). Mariana e Jéssica estăo brincando de lançar uma moeda e anotar o resultado obtido. Se os possíveis resultados sāo cara ou coroa, a probabilidade de se obter cara, em um único lançamento, é (A) \( 12,5 \% \). (B) \( 25 \% \). (D) \( 50 \% \). (D) \( 75 \% \). 10. Analyze What is the probability of rolling an odd number on a number cube? How does that compare to the probability of rolling an even number? When rolling two dice, what is the probability of getting an even number of points? 4. In a class of 28 students, 25 were wearing blazers or ties or both. Seven wore blazers with no tie and eight wore blazers and ties. (i) Show this information on a Venn diagram. (ii) Find the probability that a student selected at random was wearing a tie but not a blazer. (iii) Find the probability that a student selected at random was wearing neither a tie nor a blazer 4. In a class of 28 students, 25 were wearing blazers or ties or both. Seven wore blazers with no tie and eight wore blazers and ties. (i) Show this information on a Venn diagram. (ii) Find the probability that a student selected at random was wearing a tie but not a blazer. (iii) Find the probability that a student selected at random was wearing neither a tie nor a blazer. 4. In a class of 28 students, 25 were wearing blazers or ties or both. Seven wore blazers with no tie and eight wore blazers and ties. (i) Show this information on a Venn diagram. (ii) Find the probability that a student selected at random was wearing a tie but not a blazer. (iii) Find the probability that a student selected at random was wearing neither a tie nor a blazer. (a) The rate at which a hen lays eggs of the time she lays at Poisson distribution, and \( 99.73 \% \) of least one egg each week. (i) Calculate an estimate for the average number of eggs the hen lays each week. 17. ¿Qué probabilidad hay de que el puntaje obtenido sea estrictamente mayor que 6 ? \( \begin{array}{llll}\text { A. } \frac{20}{12} & \text { B. } \frac{12}{20} & \text { C. } \frac{20}{16} & \text { D. } \frac{20}{20}\end{array} \) 19. ¿Qué probabilidad hay de que el puntaje obtenido sea un número entre 2 y 10 ? \( \begin{array}{llll}\text { A. } \frac{11}{20} & \text { B. } \frac{12}{20} & \text { C. } \frac{20}{16} & \text { D. } \frac{16}{20}\end{array} \)
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