\begin{tabular}{l|l} с19 Элементы комбинаторики \\ \hline 1 Сколькими способами можно составить & 2 \\ расписание из 5 уроков на день из 5 & гс \\ различных учебных предметов? & п \\ \hline\end{tabular}

Dr Faridon Amdjadi, Mechanical Engineering (Tota Find the probability \( P(-1.24<z<-0.07) \) using the standard normal distribution. Select the correct answer. 0.6464 0.6823 0.1841 0.3646

3. Daniela is planning a party and trying to decide how many people to invite. She expects \( 90 \% \) of the people she invites will attend. \( \begin{array}{ll}\text { (a) If she invites } 20 \text { people, how many does } & \text { (b) If she invites } 40 \text { people, how many does } \\ \text { she expect will attend? } & \text { she expect will attend? }\end{array} \)

\begin{tabular}{l|l} Use your understanding of proll \\ 1. Andy, Luna, Tia, and Kian all volunteered to & \( \begin{array}{l}\text { 2. } \\ \text { participate in the pep rally. } \\ \text { a. Make a list or tree diagram to show the } \\ \text { sample space if two students will be picked } \\ \text { to participate. }\end{array} \) \\ \hline\end{tabular}

1. Andy, Luna, Tia, and Kian all volunteered to participate in the pep rally. a. Make a list or tree diagram to show the sample space if two students will be picked to participate. Andy and Lunu Andy and Tiq Tih and Lunh Andy and Kian Kan anc Lumd b. What is the likelihood that Kian is picked first and Luna is picked second?

Determine whether the given values can serve as the values of a probability distribution of the random variable \( X \) that can take on only the values 1,2 , and 3 . Explain your answer. 1. \( P(1)=0.08, P(2)=0.12, P(3)=1.03 \) 2. \( P(1)=\frac{10}{33}, P(2)=\frac{1}{3}, P(3)=\frac{12}{33} \) 3. \( P(1)=0.42, P(2)=0.31, P(3)=0.37 \) 4. \( P(1)=\frac{9}{14}, P(2)=\frac{4}{14}, P(3)=\frac{1}{14} \) 5. \( P(1)=0, P(2)=0.71, P(3)=0.39 \)