LearningCompetencyLearning TasksDay 1Counts the number ofoccurrences of anoutcome in an1.Use the Counting Principle to find thenumber of possible outcomes of thesetwo "experiments" done in this specificorder:experiment: (a) table;(b) tree diagram; (c)fundamental counting Experiment 1: a coin is tossed and theside that is face up is recordedprincipleExperiment 2: a die is rolled and thenumber that is face up is recorded2. Use a "Tree Diagram" to create the"sample space" for this situation.

Answered: Learning Competency Learning Tasks Day…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at the Wind Mountain archaeological site. At one excavation, a sample of 164 potsherds indicated that 70 were of the three-circle, red-on-white pattern. How many ceramic potsherds must be found and identified if we are to be 95% confident that the sample proportion p̂ of such potsherds is within 5.8% of the population proportion of three-circle, red-on-white patterns found at this excavation site? (Round your answer up to the nearest whole number.)
The information below is from the small population of 5 students. The 10 possible SRSs of size n = 3 are: Sample #1: Abigail(10), Bobby(5), Carlos(10) Sample #2: Abigail(10), Bobby(5), DeAnna(7) Sample #3: Abigail(10), Bobby(5), Emily(9) Sample #4: Abigail(10), Carlos(10), DeAnna(7) Sample #5: Abigail(10), Carlos(10), Emily(9) Sample #6: Abigail(10), DeAnna(7), Emily(9) Sample #7: Bobby(5), Carlos(10), DeAnna(7) Sample #8: Bobby(5), Carlos(10), Emily (9) Sample #9: Bobby(5), DeAnna(7), Emily(9) Sample #10: Carlos(10), DeAnna(7), Emily(9) Name Abigail Bobby Carlos DeAnna Emily Gender Female Male Male Female Female Quiz score 10 5 10 7 9 Calculate the median quiz score for each sample and display the sampling distribution of the sample median on a dotplot. 011 000000-5 5.5 7.5 T 1.5 1.5 7.5 -2 2 6.5 7 7.5 Median quiz scores 8 9 8.5 Median quiz score 8 8.5 Median quiz score ∞∞∞0-9 2.5 3.5 Median quiz scores 2.5 3 3.5 Median quiz scores -80 4104 8.5 9.5 9.5 4.5 4.5 10 8 10 ∞∞∞∞0-5 00000-5
g) The Lady Tasting Tea Experiment. An English lady, Muriel Bristol, claimed that she can tell whether tea or milk was added first to a cup. So as a researcher, you want to test whether she can really tell whether tea or milk was added first. But how would you do it? A possible research design: Give her eight cups, four where tea is added first and the other four where milk is added first, in random order. Then ask her to pick out the four cups where the milk is added first. After you conducted the experiment and collected the data, how do you decide whether she can truly tell the difference or she was just guessing. Our intuition tells us that the more cups she gets correctly, the more likely that she is NOT guessing. "If the Lady is just guessing, the probability of getting it all correctly is 1.4%." Now using your knowledge on combinatorics and probability, explain how this number was calculated? h) Suppose you flip four fair coins. What is the probability that you will get all…
Part A: There is a population of five people. They were each asked how many movies they saw in the last year. Amy saw one (1), Bob saw seven (7), Clara saw thirteen (13), Dora saw nineteen (19), and Earl saw twenty-five (25). Looking at every single possible sample of size three (with replacement). First column will be a list of every single sample (e.g., Amy, Amy, and Amy – or AAA – Amy, Amy, and Bob – or AAB – et cetera). The second column will list the mean of each sample.The third column will list the variance of each sample (using N in the denominator); and the fourth column will list the variance of each sample (using N-1 as the denominator). Calculate the means of the last three columns. To calculate the averages of the columns, put the data in a frequency table and then calculate the mean using the table. Calculate the variance of the population. Look at the values of the numbers. Which one of these means is special? Why? This will have six distinct parts: 1) the…
Bird species 2010 The Cornell Lab of Ornithologyholds an annual Christmas Bird Count (www.birdsource.org), in which bird watchers at various locations aroundthe country see how many different species of birds theycan spot. Here are some of the counts reported fromsites in Texas during the 2010 event:150 216 177 150 166 156 159 160 164 169 175150 178 183 199 154 164 203 158 231a) Create a stem-and-leaf display of these data.b) Write a brief description of the distribution. Be sureto discuss the overall shape as well as any unusualfeatures.
Local parents and their children were invited to the grand opening of a daycare center. Each of the 153 attendees got to spin a wheel to win a prize. The table below summarizes the data on the attendees and their prizes. Pencil Cup Magnet Parent 17 48 7 Child 16 36 29 Suppose an attendee from the grand opening is chosen at random. Answer each part. Do not round intermediate computations, and round your answers to the nearest hundredth. (If necessary, consult a list of formulas.) (a) What is the probability that the attendee is a child or won a pencil? ? (b) What is the probability that the attendee is a parent, given that the attendee won a cup?
As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 300 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 100 marbles from the bag. Of the 100 marbles, 33 are red.The target population consists of The 100 marbles drawn by the student The 1000 marbles in the bag None of the above The 33 red marbles drawn by the student The 300 red marbles in the bag The sample consists of The 1000 marbles in the bag The 100 marbles drawn by the student The 33 red marbles drawn by the student None of the above The 300 red marbles in the bag Based on the sample, the student would estimate that ------ marbles in the bag were red.
a as a list b as a table c as a tree diagram 4 Four cards marked 6, 7, 8 and 9 are in a hat. One card is drawn out and placed on a table. This is to be the tens digit of a two-digit number. Another card is then drawn out of the hat and placed beside the first card to complete the number. a Draw a tree diagram to show the sample space of this experiment. b How many outcomes are in the sample space? c If the cards are drawn at random, what is the chance of getting the number 78?
R3.29. Homecoming A college statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. That survey drew its sample in the following manner: Telephone numbers were generated at random by selecting one of the local telephone exchanges (first three digits) at random and then generating a random four-digit number to follow the exchange. If a person an- swered the phone and the call was to a residence, then that person was taken to be the subject for interview. (Undergrad- uate students and those under voting age were excluded, as was anyone who could not speak English.) Calls were placed until a sample of 200 eligible respondents had been reached. | a) Did every telephone number that could occur in that community have an equal chance of being generated? b) Did this method of generating telephone numbers result in a Simple Random Sample (SRS) of local residences? Explain. c) Did this method generate an SRS of local voters? Explain.…
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?
Three-circle, red-on-white is one distinctive pattern painted on ceramic vessels of the Anasazi period found at the Wind Mountain archaeological site. At one excavation, a sample of 166 potsherds indicated that 80 were of the three-circle, red-on-white pattern. How many ceramic potsherds must be found and identified if we are to be 95% confident that the sample proportion p̂ of such potsherds is within 6.5% of the population proportion of three-circle, red-on-white patterns found at this excavation site? (Round your answer up to the nearest whole number.) potsherds
(Using sets) In a study carried out with 260 university students, the following data was obtained: - 64 had taken a math course- 94 had taken a computer science course- 58 had taken a business administration course- 28 had taken a math course and a business administration course- 26 had taken a math course and a computer science course- 22 had taken a computer science course and a business administration course- 14 had taken all three types of courses a. How many students whose records were reviewed had not taken any of the three types of courses?b. Of the students whose records were studied, how many had taken only one computer science course?

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