The calculated 95% confidence interval for the percentage of coffee drinkers expressing addiction ranges from 21% to 31%. By defining the sample proportion and acknowledging a sample size of 675, while also factoring in a maximum margin of sampling error set at ±5%, the final confidence interval for addiction rates among all surveyed coffee drinkers is established.
There are several possible outcomes. The initial composition of the urns is as follows: Urn 1 contains 2 red chips and 4 white chips, totaling 6 chips, whereas Urn 2 has 3 red and 1 white, amounting to 4 chips. When a chip is drawn from the first urn, the probabilities are as follows: for a red chip, it is probability is (2 red from 6 chips = 2/6 = 1/2); for a white chip, it is (4 white from 6 chips = 4/6 = 2/3). After the chip is transferred to the second urn, two scenarios can arise: if the chip drawn from the first urn is white, then Urn 2 will contain 3 red and 2 white chips, making a total of 5 chips, creating a 40% chance for drawing a white chip. Conversely, if a red chip is drawn first, Urn 2 will contain 4 red and 1 white chip, which results in a 20% chance of drawing a white chip. This scenario exemplifies a dependent event, as the outcome hinges on the type of chip drawn first from Urn 1. For the first scenario, the combined probability is (the probability of drawing a white chip from Urn 1) multiplied by (the probability of drawing a white chip from Urn 2), equaling 26.66%. For the second scenario, the probabilities yield a value of 6%.
Respuesta:
P = 2/7 = 0.2857 o 28.57%
Explicación paso a paso:
En primer lugar, sabemos que hay 15 bolas y necesitamos identificar cuáles son pares y superiores a 10.
Por lo tanto, debemos calcular inicialmente la probabilidad de que el número obtenido sea par.
Los números pares son 2, 4, 6, 8, 10, 12, 14
Contamos 7 números de 15 ---> P(B) = 7/15
De esos números, solo dos son mayores a 10, que son 12 y 14, así que: P(A|B) = 2/15
Para encontrar la probabilidad de obtener un número par mayor que 10:
P(A/B) = P(A|B) / P(B)
P(A/B) = 2/15 / 7/15 = 2/7 = 0.2857
Para calcular el porcentaje: 0.2857 * 100 = 28.57%.
