The class outing ticket includes a snack-pack with three items, a coold chocolate and then chips or popcorn. The tree-diagram below indicate possible choices of the snack pack. Ms Basson pre-packed the snack TREE DIAGRAM: POSSIBLE CHOICE OF SNACK PACK Type of cooldrink Chocolate choice Chips or popcorn Possible Outcon the snack pack
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- Answer the following questions. 5. What is the term for the arrangement that selects r objects from a set of ii objects when the order of the r objects is not important? What is the formula for calculating the number of possible outcomes for this type of arrangement?A teacher of a class of 25 students is trying to decide whether her class will play soccer, or basketball. She surveys the class and finds out that 15 students like soccer, 10 like basketball, and 5 like soccer and basketball. Draw a vent Diagram representing this situation.For the year 2017, 90% adults in the U.S. population aged 25 and older had completed high school. The attainment of a bachelor’s degree or higher for the same population stood at 34%. Assuming, that one must complete their high school before studying for their bachelor's, with H denoting those who have completed high school and B those who have completed their bachelors, draw a decision tree to help you find the following: P(H) (B|H) P (H and B) P (Hand B’) Source: High School Completion Rate Is Highest in U.S. History
- Suppose you are trying to decide what to have for breakfast. You can chose between cereal and a toast, and you have four choices for what to drink: coffee (hot or cold), juice (apple or orange), tea (iced or hot), or water (Sparkling or cold). Draw a tree diagram for all the possibilities. Write down the possibility space. b) Bill Johnson has just bought a VCR from Jim’s Videotape Service at a cost of $300. He now, has the option of buying an extended service warranty offering 5 years of coverage for $100. After talking to friends and reading reports, Bill believes the following maintenance expenses could be incurred during the next five years: Expense 0 50 100 150 200 250 300 Probability 0.35 0.25 0.15 0.10 0.08 0.05 0.02 Find the expected value of the anticipated maintenance costs. Should Bill pay $100 for the warranty? c) If a population is given as (3, 5, 7, 9, 11) after selecting all possible samples of size 2 with replacement, find sample mean and standard deviation (also draw…Mrs. Jen and Miss Berry, two 4th grade teachers, didn’t want to be outdone by Raskin and Bobbins, so they challenged them to fill in the remaining data below about their 4th grade classes and their students’ ice cream preferences. See if you can fill in all of the missing pieces in the diagrams below. For these students as well, they had to choose one topping, but could not choose both.This morning I stopped at Dunkin’ Donuts for a coffee. They sell coffee in small, medium, large and extra-large. There are four kinds of coffee. They also offer 7 different kinds of flavor shots. How many different ways could I order my coffee? 1. Use a table, tree diagram, or some other strategy to find the total number of ways I could order my coffee. (Keep in mind that you do not have to add a flavor shot.) 2. I finally made my decision and the barista asked me if I would like to add whipped cream, chocolate syrup, or caramel syrup. AAaaaaahhhh!!! How many total ways could I have ordered the coffee now? 3. As I went to pay for my coffee, I saw a sign saying, “Win free coffee for a year! Choose 4 different digits from 1 to 9 to create a 4-digit passcode. Enter your passcode online and if you match our secret passcode, you’ll win free coffee for a year!” How many different passcodes could I choose? 4. Dunkin’ Donuts is thinking about offering a promotion to win free coffee for…
- The Titanic data set contains information, whether passengers of the Titanic survived the shipwreck, based on their gender, age and passenger class. The following decision tree has been learned on this data. Which of the statements are true? a) Overall, 62% of the passengers in the data set died. b) A ‘new‘ passenger (female, 3rd class, 30 years old) is predicted to die in the shipwreck. c) 62% of the passengers in the data set are female. d) All male 3rd class passengers in the data set died.Two HR managers ranked the 12 entries to hire executives for operations department of a hospital is as follows. What degree of agreement is there between the judges? HR Manager 1 1 2 3 4 5 6 7 8 9 10 11 12 HR Manager 2 12 9 6 10 3 5 4 7 8 2 11 1