A city council is composed of 5 liberals and 3 conservatives. Three members are to be selected randomly (a) How many delegations are possible? \( \square \) (b) How many delegations could have all liberals? (c) How many delegations could have 2 liberals and 1 conservative? \( \square \) (d) If 1 member of the council serves as mayor, how many delegations are possible that include the mayo \( \square \)

The events that Aaron's team and Betty's team win their next games are \[ \text { of } P(A) \text { and } P(B) \text {. } \] dependent equal product

What is the probability of rolling a 1 or a 4 on a number cube labeled 1 through 6 ? B. \( \frac{1}{6} \) D. \( \frac{1}{3} \) E. \( \frac{1}{2} \) E. \( \frac{5}{6} \)

Question 10, 11.2.47 At a benefit concert, nine bands have volunteered to perform but there is only enough time for six of the bands to play. How many lineups are possible?

1. Según estadísticas la probabilidad de que el motor de un auto nuevo de cierta marca sufra algún desperfecto en el primer año de uso es de 0.02 , si se prueban tres automóviles de esta marca, encuentre el número esperado de autos que no sufren de algún desperfecto en el primer año y su desviación estándar. Resultados \( \mu=2.94 \) y \( \sigma=0.2425 \)

In a group of people on holiday, it is established that there are: - 10 males under the age of 21 - 8 females under the age of 21 - 6 males aged between 21 and 30 - 5 females aged between 21 and 30 Calculate the probability that, if one person is selected at random from the group this person will be: \( \begin{array}{ll}\text { a) A male under the age of } 30 . \\ \text { b) A female. } \\ \text { c) A male over the age of } 21 . \\ \text { d) A person not older than } 21 . \\ \text { e) A male given that this person is over } 30 \text { years. } \\ \text { f) A female or between } 21 \text { and } 30 . \\ \text { g) A male or a female. }\end{array} \)