II asks voters to rank Social Security, economics, the war on terror, health care, and educatic (a) How many rankings are possible? rankings (b) What is the probability that one reply chosen at random has the issues ranked in the probability as a fraction.)

4. En un taller mecánico llegan vehículos para una puesta a punto antes de pasar la ITV. Las llegadas siguen un proceso de poisson de promedio de 18 vehículos por hora. Las dimensiones del taller sólo permiten que haya cuatro vehículos y las ordenanzas municipales no permiten esperar en la vía pública. El taller despachó un promedio de 6 vehículos por hora, de acuerdo con una distribución exponencial. Calcule a. Probabilidad de que no haya ningún vehículo en el taller. Calcular las probabilidades. b. Promedio de vehículos en el taller. c. ¿Cuánto tiempo pasa por término medio un vehículo en el taller? d. ¿Cuánto tiempo esperan por término medio los vehículos en cola?

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.)

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.)

3. A six-sided die is rolled one time. Find the probability of getting an even number greater than 2 .

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. \( \left(W_{4}\right) \)