77. En cierta población el \( 30 \% \) de los habitantes se encuentran afectados por un virus, la segunda semana el \( 10 \% \) de los enfermos se recupera y el \( 30 \% \) de los sanos se contagia. En la segunda semana, al escoger 5 personas al azar, źcuál es la probabilidad que dos de ellas estén enfermas? A) \( \left(\frac{21}{100}\right)^{2} \cdot\left(\frac{49}{100}\right)^{3} \) B) \( \left(\frac{52}{100}\right)^{2} \cdot\left(\frac{48}{100}\right)^{3} \) C) \( 10 \cdot\left(\frac{21}{100}\right)^{2} \cdot\left(\frac{49}{100}\right)^{3} \) D) \( 10 \cdot\left(\frac{52}{100}\right)^{2} \cdot\left(\frac{48}{100}\right)^{3} \) E) \( 10 \cdot\left(\frac{52}{100}\right)^{3} \cdot\left(\frac{48}{100}\right)^{2} \)

Determine the probability that: 1.1 the team will win both matches? 1.2 the team loses both matches? 1.3 the team wins exactly one match? 1.5 the team wins at least one match? [8]

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram. \( P(A)=0.45, P(B)=0.45 \) and \( P(A \operatorname{and} B)=0.10 \). \( P(\operatorname{not} B \mid A)=\square \) Question Help: \( \square \) Video

Tickets for a raffle cost \( \$ 7 \). There were 800 tickets sold. One ticket will be randomly selected as the winner, and that person wins \( \$ 1000 \) and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)? If the Expected Value is negative, be sure to include the "-" sign with the answer. Express the answer rounded to two décimal places. Expected Value \( =\$ \$ \)

Tres monedas cuyas caras son aquila y sol respactiva mente se lanza al aite al mismo ticmpo

2. Marque la situación en la cuál no se suscita un experimen to determinístico. \( \begin{array}{lll}\text { I. Lanzar una dado en el cuál cada cara tiene seis puntos. }\end{array} \) \( \begin{array}{lll}\text { II Juegan la loteria. }\end{array} \)