United Airlines' flights from Denver to Dallas are on time \( 50 \% \) of the time. Suppose 14 flights are randomly selected, and the number on-time flights is recorded. 1. The probability that at least 11 flights are on time is \( =\square \) 2. The probability that at most 5 flights are on time is \( = \) 3.The probability that exactly 4 flights are on time is \( =\square \)

\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}

In powerball, you select 5 regular numbers from 1 to 69 and 1 powerball number from 1 to 26 . What is the probability that you will get 0 of the 5 regular numbers and but get the 1 powerball? State the answer to the probability as a quotient of nCr counts as in the example below (do not compute them). For example, in class, we found the probability of winning Mega Millions was: \( \frac{5 C 5 \cdot 65 C 0}{70 C 5} \cdot \frac{1 C 1 \cdot 24 C 0}{25 C 1} \) would be entered here as ( \( \left.5 C 5^{*} 65 C 0 / 70 C 5\right)^{*}\left(1 C 1^{*} 24 C 0 / 25 C 1\right) \) Easy to just copy/paste the above and then change the numbers!

20. Du kastar två tärningar. Den ena tärningen är fyrsidig där sidorna är numrerade från 1 till 4 . Den andra tärningen är sexsidig där sidorna är numrerade från 1 till 6 . Visa att sannolikheten för att minst en av tärningarna visar en "trea" är \( 3 / 8 \).

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. \( \begin{array}{ll}\text { (a) If she invites } 20 \text { people, how many does } & \text { (b) If she invites } 40 \text { people, how many does } \\ \text { she expect will attend? } & \text { she expect will attend? }\end{array} \)

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?