DETAILS MY NOTES HARMATHAP12 7.6.001. hild is given cards with A, C, D, G, O, and T on them, what is the probability he or she could spell DOT ds from the 5 ? (Enter your probability as a fraction.) \( x \)

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.)

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

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?

The expected value of betting \( \$ 1 \) on one roulette number is approximately \( -\$ .05 \). What does this mean in practical terms? If many people made this bet over the course of the night, the house would expect to take in approximately a \( 5 \% \) return. If I bet \( \$ 1 \) one time, I would expect to leave the table with approximately 95 cents. I am almost guaranteed to lose this bet I am almost guaranteed to win this bet