A jar contains 10 red marbles numbered 1 to 10 and 4 blue marbles numbered 1 to 4 . A marble is drawn a random from the jar. Find the probability of the given event. (a) The marble is red Your answer is : (b) The marble is odd-numbered Your answer is : (c) The marble is red or odd-numbered Your answer is : (d) The marble is blue or even-numbered Your answer is:

3. En un míni mercado se tienen 2 cajeros que siempre están trabajando. La llegada de clientes al míni mercado es de 13 por hora y cada cajero atiende un promedio de los clientes cada 15 minutos. a. Halle Probabilidad de que el sistema esté vacío \( \left(P_{0}\right) \) b. Cuál es el promedio de clientes en el sistema. \( \left(L_{s}\right) \) c. Cuál es el promedio de clientes en la cola. \( \left(L_{q}\right) \) d. Cuál es el promedio del sistema. \( \left(W_{s}\right) \) e. Tiempo promedio en cola. \( \left(W_{4}\right) \)

After a particular surgery, patients are placed in an intensive care unit (ICU) until their condition stabilizes. Then they are transferred to a special care ward (SCW), where they remain until they are released from the hospital. In a particular metropolitan area, a study of hospital records produced the following data: each day \( 2 \% \) of the patients in the ICU died, \( 49 \% \) were transferred to the SCW, and the remainder stayed in the ICU. Furthermore, each day \( 3 \% \) of the patients in the SCW developed complications and were returned to the ICU, \( 1 \% \) died while in the SCW, \( 22 \% \) were released from the hospital, and the remainder stayed in the SCW. A) In the long run, what percentage of the patients in the ICU are released from the hospital? \( \square \% \) (Round to two decimal places as needed.)

logía, Química, Física y Lenguaje. Si se toma uno de ellos, ¿cuá a probabilidad de que este sea de matemática o de física? \( 1 / 5 \) b) \( 3 / 5 \) c) \( 2 / 5 \mathrm{~d} / 4 / 5 \)

After a particular surgery, patients are placed in an intensive care unit (ICU) until their condition stabilizes. Then they are transferred to a special care ward (SCW), where they remain until they are released from the hospital. In a particular metropolitan area, a study of hospital records produced the following data: each day \( 2 \% \) of the patients in the ICU died, \( 49 \% \) were transferred to the SCW, and the remainder stayed in the ICU. Furthermore, each day \( 3 \% \) of the patients in the SCW developed complications and were returned to the ICU, \( 1 \% \) died while in the SCW, \( 22 \% \) were released from the hospital, and the remainder stayed in the SCW. A) In the long run, what percentage of the patients in the ICU are released from the hospital? \( 91.43 \% \) (Round to two decimal places as needed.) B) In the long run, what percentage of the patients in the SCW die without ever being released from the hospital? \( \square \% \) (Round to two decimal places as needed.)

e. ¿Cuál es la longitud medida de la cola? 5. Un supermercado tiene una caja de pago donde los clientes llegan siguiendo un proceso de Poisson con una tasa de llegada de 10 clientes por hora. Los cajeros en la caja procesan a los clientes de acuerdo con una tasa de servicio de 15 clientes por hora. a. ¿Cuántos clientes, en promedio, se encuentran en el sistema? b. ¿Cuánto tiempo, en promedio, pasa un cliente en el sistema? c. ¿Cuántos clientes, en promedio, están esperando en la cola?