Between 12:00 PM and 1:00 PM, cars arrive at a local bank's drive-thru at the rate of 8 cars per hour ( 0.13 car per minute). The formula below from probability can be used to determine the probability that a car will arrive within \( t \) minutes of 12:00 PM. Use this information to answer the questions given below in parts (a)-(e). F(t) \( =1-e^{-0.13 t} \) (a) What is the probability that a car will arrive within 35 minutes of \( 12: 00 \) PM (that is, before 12:35 PM)? F( 35\( )=0.989 \) (Round to three decimal places as needed.) (b) What is the probability that a car will arrive within 40 minutes of \( 12: 00 \) PM (that is, before \( 12: 40 \) PM)? F( 40\( )=0.994 \) (Round to three decimal places as needed.) (c) What value does F approach as \( t \) becomes unbounded in the positive direction? (

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.)

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.)

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?

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)

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 \( \square \) minutes are needed for the probability to reach \( 90 \% \). (Round to two decimal places as needed.)