Probability Questions from Dec 04,2024

Browse the Probability Q&A Archive for Dec 04,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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Which of the following is an example of a permutation? A. Selecting a first-, second-, and third-place winner at a baking competition B. Picking 5 sets of towels from 25 different sets C. The number of ways 7 books can be selected from 50 D. The number of ways to choose 3 students to represent a school at a national competition You are choosing 4 of your 7 trophies and arranging them in a row on a shelf. In how many different ways can you choose and arrange the trophies? A. 840 B. 24 C. 28 D. 5040 Ted is picking one of his three children (Ed, Jed, or Ned) to do the dishes. What is a fair way to do this? A. Make a spinner with three equal-sized sections. Assign each child one section and spin the spinner. The child whose section comes up does the dishes. B. Have each of the children wash one dish. The one who does the best job gets to do the rest of the dishes. C. Toss a coin twice. If it comes up heads 2 times, pick Ed. If it comes up heads 1 time, choose Jed. If it comes up heads 0 times, choose Ned. D. Roll a number cube. If an odd number comes up, pick Ed. If a 2 or a 4 comes up, pick Jed. If any other number comes up, pick Ned. Which of the following is an example of independent events? A. Selecting a yellow bead from a bag of 6 different colored beads and then selecting a second yellow bead without putting the first back B. Getting tails on a coin toss and drawing a king from a standard deck of cards C. Being in marching band and having a uniform D. Drawing a queen from a standard deck of cards and then drawing an ace without replacing the queen Alice placed 15 red sweets, 17 green sweets and a few blue sweets in a bag. If the probability of picking a blue sweet is \( \frac{9}{25} \) find a) the number of blue sweets in the bag b) the probability of picking a green sweet c) the probability of picking a red sweet An expert sharpshooter misses a target 5 percent of the time. Find the probability that he will miss the target for the second time on the fifteenth shot. Select one: a. 0.01622 b. 0.01797 c. 0.01853 d. 0.1348 a e. 0.9595 TAREA 5. Una localidad con importante actividad turística cuenta con un total de 25 hoteles, 10 de ellos tie- nen categoria tres estrellas y 18 ofrecen el servicio de desayuno; cabe destacar que 8 establecimientos son de tres estrellas y brindan desayuno. a) Se selecciona un hotel al azar - Calcule la probabilidad que sea categoría tres estrellas si no ofrece servicio de desayuno b) Se selecciona una muestra aleatoria de 6 hoteles, sin reposición - Calcule la probabilidad que 4 de ellos tengan servicio de desayuno TAREA 6. En un procedimiento de test de hipótesis sobre el gasto realizado por turistas se formula la hipóte- sis nula Ho: \( \mu=\$ 120.000 \) a) Enuncie la hipótesis alternativa unilateral de derecha b) Se realiza el test y Ho no se rechaza i. Establezca la conclusión en términos del problema ii. ¿Qué tipo de error podria cometerse con la decisión adoptada? Assuming that any five letters of the English alphabet could be used to form a word, How many five-letter words would not have any repeated letters Select one: a. \( 26 \wedge 5 \) i.e. 26 to the power 5 or 11881376 (b. \( 26 P 5 \) or 7893600 c. \( 26+25+24+23+22 \) or 120 od. \( 26 C 5 \) or 65780 A bag contains six white marbles and five red marbles. Find the number of ways four marbles can be drawn from the bag if two must be white and two red and the marbles are distinct. Select one: a. \( 6 C 2 \times 5 C 2 \) b. \( 6 C 2+5 C 2 \) c. \( (11+4-1) C 11 \) d..\( (4+2-1) C 4 \) e. \( 6 P 2 \times 5 P 2 \) In a given international company 4 percent of all employees have at most one child in any given year. Find the probability that among 140 employees randomly chosen in the company, at most 4 will have at most one child in any given year. Select one: a. 0.33390 b. 0.33719 c. 0.33845 d. 0.34215
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