Probability Questions from Nov 20,2024

Browse the Probability Q&A Archive for Nov 20,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Las preguntas 5 y 6 se responden de acuerdo con la siguiente información: Se deben formar números de 4 cifras usando los dígitos: \( 5,6,7,8 \) y 9 . 5. ¿Cuántos números resultarán si deben ser impares y sin cifras repetidas? 1) Tres monedas son lanzadas al azar. La probabilidad de que se obtengan exactamente dos caras Winston, a dog, loves to play fetch. He catches each ball mid-air independently with probability 0.35. What is the probability that in four tosses, Winston makes exactly two mid-air catches? Round your answer to two decimal places. 14. Un estudiante de ingenieria tiene un \( p \% \) de probabilidad de aprobar cálculo y un \( q \% \) de probabilidad de aprobar álgebra. ¿Cuál de las siguientes expresiones representa la probabilidad de aprobar al menos una de las dos asignaturas? You throw a six-sided die six times. On average, how many times out of six throws do you expect to observe a number greater than four? 1. En una urna donde hay dos bolas rojas y tres bolas verdes. Sacamos una bola, anotamos su color y la devolvemos a la urna. Realizamos este proceso tres veces. Realiza el diagrama de árbol y responde: ¿la probabilidad de que las tres bolas sean iguales es de? a. 0,216 b. 0,28 c. 0,72 d. 0,064 Two integers are randomly selected from the set \( \{1,2,3,4,5,6,7,8,9\} \) and are added together. Find the probability that their sum is 15 if they are selected (a) with replacement, (b) without replacement. (a) The probability that their sum is 15 if they are selected with replacement is \( \frac{4}{81} \). (Type an integer or a simplified fraction.) (b) The probability that their sum is 15 if they are selected without replacement is (Type an integer or a simplified fraction.) formas diferentes pueden cubrirse esos cargos? (3) En un curso de 22 estudiantes, todos quieren sentar- se en los cinco asientos de la primera fila. ¿De cuán- tas formas puede asignar el profesor esos asientos? A card is selected at random from a standard pack of playing cards and then replaced. This is done 1,040 times. How many times would you expect to get the following cards: (a) A red card? (b) A King? (c) The Queen of hearts? 2. A fair six-sided die is thrown 6,000 times. Find how many times the die would be expected to land showing: (a) The number 1 (b) An even number
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