5. Let \( E \) and \( F \) be two events that are mutually exclusive and suppose \( P(E)=0.7 \) and \( P(F)=0.1 \), Compute \( P(E \cap F) \). a. 0.2 b. 0.6

9. Se lanza un dado y sale 4 . ¿Qué probabilidad hay de que al lanzarlo de nuevo sume con el prim resultado un número menor que 9 ?

Between 12:00 PM and 1:00 PM, cars arrive at a bank's drive-thru at the rate of 18 cars per hour ( 0.3 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within \( t \) minutes of 12:00 PM. Complete parts (a)-(c). F(t) \( =1-e^{-0.3 t} \) (a) Determine how many minutes are needed for the probability to reach 30\%. About \( \square \) minutes are needed for the probability to reach 30\%. (Round to two decimal places as needed.)

7. En un naipe inglés ( 52 cartas) qué probabilidad hay de: i. obtener un trébol al sacar una carta ii. obtener 2 aseses en una entrega ( 13 cartas)

1 - Unestudiante que no se ha preparado absolutamente nada para un examen, ve que este contiene 20 preguntas de verdadero y falso. Decide lanzar una moneda al aire para responder. Anota verdadero si la moneda cae por cara y falso si cae por sello. A) ¿Qué probabilidad hay de que pase el examen si para hacerlo debe contestar correctamente el \( 70 \% \) de las preguntas? 8) ¿Qué probabilidad hay de que conteste por lo menos la mitad de las preguntas correctamente?

Between 12:00 PM and 1:00 PM, cars arrive at a bank's drive-thru at the rate of 18 cars per hour ( 0.3 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. Complete parts (a)-(c). F(t) \( =1-e^{-0.3 t} \) (a) Determine how many minutes are needed for the probability to reach 30\%. About 1.19 minutes are needed for the probability to reach \( 30 \% \). (Round to two decimal places as needed.) (b) Determine how many minutes are needed for the probability to reach \( 90 \% \). About 7.68 minutes are needed for the probability to reach \( 90 \% \). (Round to two decimal places as needed.) (c) Is it possible for the probability to equal \( 100 \% \) ? Explain. Select the correct choice below and, if necessary, fill in the answer box within your choice. A. Yes, about \( \square \) minutes are needed for the probability to B. No, because when determining the number of minutes, the (Round to two decimal places as needed.)