統計と確率
データ分析、確率分布、仮説検定、統計手法。
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eldrick manages wildlife samples for ducks unlimited. two samples of du…
Eldrick should take another sample because there is too much variability in the two samples.
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a poll asks shoppers at the mall how many cups of water they typically …
6
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a sample was taken of dogs at a local dog park on two random days. the …
The proportion $\frac{16}{42}=\frac{x}{50}$ (or $\frac{8}{21}=\frac{x}{50}$) could be used. Among the given options, if we assume the intended proportion is $\frac{16}{42}=\frac{x…
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gemma is creating a histogram based on the table below. | salary range …
0 - 50
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which of the following did you include in your response? check all of t…
The data appears slightly skewed, so the median is probably the most appropriate measure. My friend has a good chance of making between $16,000 and $23,000 because that is the ran…
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mr. mcelroy enjoys listening to his mp3 player, which has 2,000 songs i…
550
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two samples were taken of fish caught on small lake and are shown in th…
80
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fast pax annual salaries (thousands of dollars) analysts determined tha…
The shape of the graph is right - skewed. The most appropriate measure of center is the median. You could tell your friend that most employees have salaries on the lower end of th…
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which of the following did you include in your response? check all of t…
The data is skewed, so the mean is not a good measure of the data. A median of $20,000 is probably a better indicator of the salary you would earn. 75% of all employees make less …
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which of the following did you include in your answer? check all of the…
All of the above options could potentially be included in an answer depending on the characteristics of the specific box - and - whisker plot being analyzed. So, it could be: The …
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first construct the frequency distribution. class frequency, f 0 - 4 6 …
$7.9$
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linda randomly surveyed 20 teachers at her school about whether they pr…
Sample 2
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for two years, two samples of fish were taken from a pond. each year, t…
Trout increased its predicted average population.
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the descriptive statistics are shown. measure annual salary ($) mean 39…
The box - and - whisker plot is right - skewed. The long right tail is indicated by the large maximum value compared to the mean, median, and mode, and the fact that the mean is g…
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which type of graph would be most appropriate to display this data? a h…
a stem - and - leaf plot
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using intervals of width 10, how many intervals are needed for this gra…
25 or more
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d. a system where all states had equal population 10. the three - fifth…
10. B. Counting enslaved people for taxation and representation 11. B. It would continue for 20 more years before Congress could act 12. C. Federalism
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study the graph carefully. which of the following statements is true? t…
The graph is drawn correctly.
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which of the following did you include in your response? check all of t…
the range, or spread, of the salaries whether most people make a very low salary and one or two people make a high salary the minimum salary, and whether that is an entry level or…
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write a short (1,000 - 1,250 words or about 5 well - developed paragrap…
The task is to write a 1000 - 1250 word essay analyzing one's stance on Plato's statement "the unexamined life is not worth living", using evidence from course materials and perso…
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two samples of fish from a pond were analyzed. the second sample was ta…
- Fewer bass were in the pond at the time the second sample was taken. - About the same number of catfish were found in both samples.
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the proportion used to find the average number of trout you would expec…
140
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the table shows two samples of fish from a pond. if 400 fish are in the…
$\frac{7}{20}=\frac{x}{400}$
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select the button to take a sample of fish. take two samples of fish fr…
The average number of bass found in both samples is 7. The ratio of the average number of bass to the average number of fish in each sample is $\frac{7}{20}$.
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a random survey asked two samples of 100 high school students how much …
More students spend 0 - 30 minutes on homework than spend 31 - 60 minutes.
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making a valid inference a random survey asked two groups of 100 women …
pants
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in two sample surveys, 125 people were asked about their favorite fruit…
Yes, the inference is true because the total number of people who chose oranges (127) is greater than the total number of people who chose apples (83) and bananas (40) in the two …
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a survey was conducted asking people about their favorite fruit. which …
- About twice as many people prefer apples as prefer bananas. - Bananas are preferred much less frequently than apples or oranges. - The samples show little variation for each fru…
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kevin and mark took a random sample of 100 pieces of trail mix to deter…
Mark's sample is more representative.
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compare the distributions (shape, center, variability, and outliers) as…
The lower histogram is left - skewed with a center around 80 - 85 and higher variability. The upper histogram is approximately symmetric with a center around 120 - 125 and lower v…
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paris used a simulation to take two random samples of fish in a pond. h…
No, the two samples do not have similar values, so more samples are needed. No, the samples are not representative of the population.
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two samples were taken at a shopping mall. in each sample, 200 shoppers…
About the same number of people prefer apples and bananas.
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9. what helped a man named michael to change his life course? 9 conside…
The death of his mother, Bible - study, and reflection on religious content from the "Enjoy Life Forever!" book, particularly lesson 27's "Dig Deeper" section, helped Michael chan…
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six random samples were taken each year for three years. the table show…
- The number of bass decreased over time. - The number of catfish increased over time.
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using six random samples, the average number of catfish in the samples …
57
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the mean number of catfish in all 6 samples is approximately 5.7. if 20…
A. \(\frac{5.7}{20}=\frac{x}{200}\)
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select the button to take a sample of fish. generate three more random …
$6.33:20$
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select the button to take a sample of fish. what is the ratio of the av…
1:4
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in this assignment, you will explore how to find the number of differen…
the population of brook trout
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the distribution of the tuition, fees, and room and board charges of a …
The sample mean is approximately $\$21032.11$ and the sample standard deviation is approximately $\$3154.57$
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lorena took a survey of the students in her honors science class to det…
No, Lorena's sample was not a random sample of the entire school. No, Lorena's sample was biased because it was taken only from an honors class.
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social change practice active what is diffusion?
Diffusion is the spread of cultural elements (ideas, technologies, etc.) from one society or group to another over time through means like trade, migration, and communication.
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the distribution of the tuitions, fees, and room and board charges of a…
$26249.5$
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finding the expected value in a marble game yellow marble in a bag some…
Derek's expected value: $\frac{1}{2}$; Mia's expected value: $-\frac{1}{2}$; $P(GY)=\frac{1}{4}$
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finding the expected value in a marble game derek and mia place two gre…
$\frac{1}{9}$
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the iq scores of 50 students are given below. (a) construct a grouped -…
| Class | Frequency | |---|---| | 85 - 89 | 5 | | 90 - 94 | 12 | | 95 - 99 | 5 | | 100 - 104 | 11 | | 105 - 109 | 4 | | 110 - 114 | 9 | | 115 - 119 | 4 | | 120 - 124 | 0 |
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question 13 identify the histogram for the frequency distribution below…
The histogram where the bar heights for the intervals 2 - 6, 7 - 11, 12 - 16, 17 - 21, 22 - 26 are 2, 5, 6, 4, 3 respectively (usually requires visual inspection among the given h…
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ceo age salary 1 53 145 2 43 621 3 33 262 4 45 208 5 46 362 6 55 424 7 …
(a) \(46.9375\) (b) \(46.5\) (c) \(339.1875\) (d) \(350.5\) (e) Skewed left
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a. what quarter has the smallest spread of data? fourth third second fi…
a. Second b. 3 c. First d. 14 e. 10 f. 57 - 61
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gpa 1.54 2.17 3.81 2.30 3.48 1.61 2.16 2.18 3.34 1.9 2.67 1.58 3.79 3.1…
(a) \(1.6825\) (b) \(3.375\) (c) \(2.4921\) (d) \(2.29\) (e) \(2.27\) (f) \(0.92\) (g) \(1.6925\) (h) \(L=-0.85625\), \(U = 5.91375\) (i) \(0.846\)
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please find the range, sample standard deviation and inter - quartile r…
range (original data - set): 67 standard deviation (original data - set): 21.2 IQR (original data - set): 24 range (new data - set): 93 standard deviation (new data - set): 27.4 I…
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select the word that means people who are walking. around the world, mo…
Pedestrians
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select the word that means people who reside in a particular building. …
occupants
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select the word that means a very skillful musician. the scottish virtu…
virtuoso
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select the word that means public disagreement. some people argue that …
controversy
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select the word that means flooded with water. hurricane katrina hit th…
deluged
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select the word that means put an end to. in 1870, the fifteenth amendm…
abolish
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select the word that means brought disgrace to. on august 7, 2007, base…
tarnished
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select the correct answer. ross was playing with a deck of cards. he to…
{4, 5, 7, 8}
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select the word that means sings a love song outdoors at night. mozarts…
serenade
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select the correct answer. during the summer vacation, 35 students out …
\(\frac{1}{10}\)
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select the correct answer. an organization is awarding a $4,000 scholar…
205,476,480
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select the correct answer. the types of shots made in a basketball game…
$P(\text{Player B}|\text{3 - point Field Goal}) eq P(\text{3 - point Field Goal})$
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select the word that means pieces of equipment used for a specific acti…
apparatuses
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there are 16 boys and 24 girls in the school choir. the choir director …
$\frac{2}{13}$
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select the word that means an idea believed to be true. around 1514, as…
Doctrine
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the table shows the results of a survey of 250 high school freshmen and…
| | Sophomores | Freshmen | Total | |--|--|--|--| | Television | 55 | 10 | 65 | | Internet | 95 | 90 | 185 | | Total | 150 | 100 | 250 |
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select the word that means leaving out. you can usually improve your wr…
omitting
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select the correct answer. at a regional fair, the fair staff conducts …
\(\frac{21}{272}\)
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select the word that means ends for a period of time. every january, th…
adjourns
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question 4 of 10. step 1 of 1 calculate the standard score of the given…
$0.07$
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read the excerpt from black boy. when i awakened one morning my mother …
Wright notes being overwhelmed by faces and voices and describes the judge as being "high above."
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read the excerpt from black boy from the white landowners above him the…
It takes away his sense of humanity and his ability to feel
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a die is rolled nine times and the number of times that two shows on th…
A. 1.5 twos
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a test consists of 10 true/false questions. to pass the test a student …
C. 0.377
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twenty percent of adults in a particular community have at least a bach…
C. \(P(x\geq30)\)
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what does it mean to say that the trials in a binomial experiment are i…
A. The outcome of one trial does not affect the outcomes of the other trials.
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the following table describes the results of roadworthiness tests of fo…
D. 0.046
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a tennis player makes a successful first serve 51% of the time. if she …
None of the provided options are correct. The calculated probability is approximately $0.184$.
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determine whether the following value is a continuous random variable, …
a. A. It is a continuous random variable. b. C. It is not a random variable. c. B. It is a discrete random variable. d. B. It is a discrete random variable. e. B. It is a discrete…
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mars, inc. claims that 20% of its m&m plain candies are orange. a sampl…
C. $\mu = 20,\sigma = 4.0$
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based on a comcast survey, there is a 0.8 probability that a randomly s…
B. 0.00467
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the probability that a randomly selected adult in a particular communit…
D. Yes, because the probability of smoking is the same, even when the income condition is added, the two events are independent.
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basic probability review worksheet - fall 2025 a 6 - sided die is rolle…
19. $\frac{1}{20}$ 20. $\frac{3}{10}$ 21. $\frac{3}{20}$ 22. $\frac{1}{4}$ 23. $\frac{1}{10}$ 24. $\frac{19}{20}$ 25. $0$
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fill in the blank to complete the statement below. two events e and f a…
$P(E)$
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the table below displays results from experiments with polygraph instru…
\(\frac{40}{59}\approx0.678\)
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the data represent the results for a test for a certain disease. assume…
$0.036$
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complete the following statement. the conditional probability of b give…
D. assuming that event A has occurred, and then calculating the probability that event B will occur
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let event a = subject is telling the truth and event b = polygraph test…
C. The probability that the polygraph indicates lying given that the subject is actually telling the truth.
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explain how to read the notation p(e|f). choose the correct answer belo…
the probability of E given F
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to reduce laboratory costs, water samples from three public swimming po…
$0.015$
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based on a poll, 61% of internet users are more careful about personal …
The probability that at least one of them is careful about personal information is $0.941$. C. It is very possible that the result is not valid because the sample may not be repre…
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based on a poll, 61% of internet users are more careful about personal …
$0.941$
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fill in the blank. a ______ probability of an event is a probability ob…
A. conditional
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fill in the blank. the complement of \at least one\ is ________. the co…
none
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fill in the blank. \at least one\ is equivalent to ________. \at least …
One or more
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a 6 - sided die is rolled once. find 1. p(roll a 5) 2. p(roll a 1 or 6)…
1. $\frac{1}{6}$ 2. $\frac{1}{3}$ 3. $\frac{1}{2}$ 4. $\frac{1}{3}$ 5. $\frac{5}{6}$ 6. $\frac{1}{13}$ 7. $\frac{1}{2}$ 8. $\frac{1}{4}$ 9. $\frac{3}{13}$ 10. $\frac{2}{13}$ 11. $…
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when a man observed a sobriety checkpoint conducted by a police departm…
A. P($\overline{W}$) denotes the probability of screening a driver and finding that he or she is not intoxicated. First, we know that $P(W)=0.00613$. Since $P(W)+P(\overline{W}) =…
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the principle of redundancy is used when system reliability is improved…
a. 0.157 b. 0.02465 c. 0.00387 d. C. Yes, because total malfunction would not be impossible, but it would be unlikely.
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a 6 - sided die is rolled. find 1. p(roll a 5) 2. p(roll a 1 or 6) 3. p…
\(\frac{1}{6}\) - **2. \(P(\text{roll a }1\text{ or }6)\)**: - # Explanation: ## Step1: Determine total outcomes A 6 - sided die has \(n = 6\) possible outcomes. ## Step2: Determi…