(a) In a 3-children family, what are the possible outcomes of gender of the children?Draw a tree diagram to list all the possible outcomesA tree diagram :(b) A survey on the nationality of the students in St. Thomas International School is conductedand the results are shown below:Students distribution in the St. Thomas School230250200150110851002550AsianEur ope anAmericanAfricanNationalityIf TWO students are randomly selected, what is the probability thatboth of them are European (correct to 4 decimal places);If ONE student is randomly selected, what is the probability that the(ii)student is NOT Asian (correct to 4 decimal places).(0)Number of students

(a ) Draw tree diagram (b ) From bar chart answer the probabilities

Answered: (a) In a 3-children family, what are…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Consider the experiment of tossing a coin twice and then rolling a dice a. Develop a tree diagram for the experiment b. List the experimental outcomes c. What is the probability for each experimental outcome? d. Is this an question based on independent event or this is mutually exclusive? Please explain your answer.
A group of students at a local university were asked about their status (undergraduate, graduate, or non-degree seeking) and how they get to campus (walk/bike or car/bus/etc.). The results are summarized in the table below. How do you get to Campus? Walk/Bike Car/Bus/etc. Total Undergraduate 80 20 100 Graduate 40 10 50 Non-degree Seeking 10 40 50 Total 130 70 200 Suppose we choose a person at random from this sample. Which of the following statements is true? (A) If the person uses a car/bus/etc. to get to campus, then he or she is more likely to be a non- degree seeking student than a degree seeking student (undergraduate or graduate). (B) If the person is an undergraduate, then he or she is more likely to use a car/bus/etc. to get to campus than to walk/bike to campus. (C) The person is more likely be a graduate student if he or she uses a car/bus/etc. to get to campus than if he or she walks/bikes to campus. (D) The person is more likely to use a car/bus/etc. to get to campus than…
A group of 11 students was selected at random and asked for their high school GPA and their freshmen GPA in college the subsequent year. The results were: Student High School GPA Freshmen GPA 1 2.0 1.6 2 2.2 2.0 3 2.6 1.8 4 2.7 2.8 5 2.8 2.1 6 3.1 2.0 7 2.9 2.6 8 3.2 2.2 9 3.3 2.6 10 3.6 3.0 We would like to know whether there is a linear relationship between the high school GPA and the college freshmen GPA, and we would like to be able to predict the freshmen GPA, if we know that the high school GPA of another student is, say, 3.4. Provide the two requested scatter plots for this data (put college freshman GPA on the Y (vertical) axis!). a) What would be your approximate 95% prediction interval for question (g)? b) Show your scatterplot with the predicted trend line below
Instructor-created question The favorite sports of students in a statistics class are shown in the following table. Students' Favorite Sports O None Soccer Hockey Soccer Hockey Soccer 1. Frank 2. Angelica 3. Craig 4. Keith Baseball Нockey Нockey Football 5. Kat 6. Gerardo 7. Jason 8. Marissa 9. Anas 10. Harold 11. Calvin 12. Amy Hockey Baseball a. Suppose technology randomly selects the following values: 6, 2, 9. 4. 3, 5. Use this random sample to find the proportion of students who prefer hockey. LType an integer or a simplified fraction.) If your result is used to describe the sample, is this part of descriptive or inferential statistics? Explain. OA. Descriptive statistics because it uses tables, graphs, or calculations about a sample to draw conclusions about only the sample. O B. Descriptive statistics because it is using information from a sample to draw conclusions about the entire population. O C. Inferential statistics because it uses tables, graphs, or calculations about a…
AP Statistics Chapter 5 Review Name: Date: Period: 1) Approximately 13% of people are left-handed. a) If you choose 10 people at random, what is the probability none of them are left-handed? b) Describe a plan to simulate choosing 10 people at random and counting the number that are left-handed by using Table D in your textbook. c) Run 5 repetitions of this simulation and record the results below. What is the average number of left-handed people you selected in each repetition?
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Superpowers A total of 415 children from the United Kingdom and the United States who completed a survey in a recent year were randomly selected. Each student's country of origin was recorded along with which superpower they would most like to have: the ability to fly, ability to freeze time, invisibility, superstrength, or telepathy (ability to read minds). The data are summarized in the following table. Country U.K. U.S. Fly 54 45 Freeze time 52 44 Invisibility 30 37 Superpower 20 23 Superstrength Telepathy 44 66 a. What proportion of students in the sample are from the United States? b. Find the distribution of superpower preference for the students in the sample using relative frequencies. c. What percent of students in the sample are from the United Kingdom and prefer telepathy as their superpower preference?
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C. Test value D. Make a decision
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