Decide whether the exercise involves permutations or combinations,and then solve the problem.Marbles are being drawn without replacement from a bag containing15 marbles.(a) How many samples of 3 marbles can be drawn?(b) How many samples of 4 marbles can be drawn?(c) If the bag contains 3 yellow, 2 white, and 10 blue marbles, howmany samples of 3 marbles can be drawn in which all marbles areblue?Does the problem involve permutations or combinations?CombinationsPermutations(a) How many samples of 3 marbles can be drawn?455 samples(b) How many samples of 4 marbles can be drawn?1365 samples(c) If the bag contains 3 yellow, 2 white, and 10 blue marbles, howmany samples of 3 marbles can be drawn in which all marbles areblue?samples

The permutation is defined as the arrangement of a number or object. In permutation the order of the…

Answered: Decide whether the exercise involves…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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in a survey of 14 college students, it was found that 9 were taking an English class, 7 were taking a math class, and 6 were taking both English and math. How many students were taking a math class only? How many students were taking an English class only? How many students were taking neither.
A biologist is studying the composition of birds on a lake and counts 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons. From previous studies performed around the same time of the year, she expects 50% of the birds to be ducks, 23% to be geese, 12% to be cranes, 10% to be swans, and 5% to be herons. What are the expected and observed counts? Select one. Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D Expected = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons Observed = 55 ducks, 25 geese, 13 cranes, 11 swans, and 6 herons %3D %3D Expected = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons Observed = 61 ducks, 17 geese, 11 cranes, 15 swans, and 6 herons
A small company is interested in determining how many of its employees are still paying off student loans. However, the company doesn't want to allocate the resources required to survey every single employee. So they decide to randomly sample 2 individuals from each department using a simple random sample approach. There are a total of 6 individuals that work in the human resources department. How many possible distinct combinations of 2 individuals could be selected from the human resources department?
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.
In a survey, it was found that 80% of adults operate the flusher of toilets in public restrooms with their foot. (a) If 300 adults are randomly selected, how many would we expect to flush toilets in public restrooms with their foot? (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? (a) We would expect (Type a whole number.) adults to flush toilets in public restrooms with their foot. (b) Would it be unusual to observe 255 adults who flush toilets in public restrooms with their foot? Choose the correct answer below. O A. Yes, because 255 is greater than u + 2o. O B. No, because 255 is greater than u + 20. O C. Yes, because 255 is between u - 20 and u+ 20. O D. No, because 255 is less than u- 20. O E. No, because 255 is between u -20 and u+ 20.
A building contractor has a chance to buy an odd lot of 1,000 used bricks at an auction. She is interested in determining the proportion of bricks in the lot that are cracked and therefore unusable for her current project, but she does not have enough time to inspect all 1,000 bricks. Instead, she checks 150 bricks to determine which ones are cracked. What is the population of interest? all building contractors all 1,000 bricks in the lot the rest of the 850 bricks the 150 bricks selected for inspection the rest of the 700 bricks What group constitutes the sample? the 150 bricks selected for inspection all building contractors the rest of the 700 bricks all 1,000 bricks in the lot the rest of the 850 brickS Submit Answer
A firm randomly surveys 300 people out of the 3,000 people who have shopped in the store (only one location) in the last month and bought something. They are trying to determine how many people bought more than three items. The firm made sure that 50% were males and 50% were females. They found that 91 people bought more than three items and 209 bought three or less items. Which value represents the population? 3,000 300 91 Question 10 From the previous question what was the sample? 3000 300 O 91
Ida wants to know if people prefer for one brand of chocolate chip cookie dough over another. To test this, she bakes eight dozen cookies from dough made by each of 4 manufacturers and labels the brands A, B, C, and D, to conceal the name of the company from the tasters. She then selects a random sample of 96 students at her school to try each brand of cookie and choose the brand they like best. The cookies are tasted in random order. Here are the results: Cookie Brand Number of choosing brand A 26 18 24 28 Ida performs the appropriate y procedure to test the hypothesis that the brands are preferred equally. What brand category that contributes the most to the value of the ? statistic? OD O A O BA O All four components are roughly equal. NEW FOR YOU: 40% OFF
A factory that makes gaming systems selects 100 random systems to check for defects. They find that 3 of the gaming systems were defective and had to be discarded. How many gaming systems out of 1, 500 should the factory predict will be defective? The factory should predict that gaming systems will be defective.
As part of a statistics project, a teacher brings a bag of marbles containing 800 white marbles and 300 red marbles. She tells the students the bag contains 1100 total marbles, and 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, 32 are red. The data collection method can best be described as Survey Census Controlled study Clinical study The target population consists of The 1100 marbles in the bag The 300 red marbles in the bag The 32 red marbles drawn by the student The 100 marbles drawn by the student None of the above The sample consists of The 300 red marbles in the bag The 32 red marbles drawn by the student The 100 marbles drawn by the student The 1100 marbles in the bag None of the above Based on the sample, the student would estimate that marbles in the bag were red.
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