(a)
To Describe: what graph reveals about relationship between age group and movie attendance.
(a)

Answer to Problem 36E
The graph reveals that as age increases, the percentage of people who attended the movie in last 12 months is decreasing.
Explanation of Solution
The graph reveals that as age increases, the percentage of people who attended the movie in last 12 months is decreasing. As we can see, percentage of people who saw movie in age group 18-24 is 75%, next age group (25-34) is 68% then decreased to 61% in the age group 35-44. For people who are aged 75+ it is around 20%. Percentage of young who saw movie decreased from 80% in the beginning to almost 1/4th in the old age group aged 75+. This can be interpreted as: - increase in age is associated with less entertainment as people are busy with their jobs, family and health issues as they grow old.
(b)
To Check: whether pie chart can be drawn for the percentage of people who saw movie classified in different age groups
(b)

Answer to Problem 36E
Pie chart cannot be drawn.
Explanation of Solution
Pie chart cannot be drawn because sum of percentages of people who watched movie will not add up to 100%. Pie chart can be drawn to represent a single phenomenon categorised according to a particular criteria.
Chapter 1 Solutions
EBK PRACTICE OF STAT.F/AP EXAM,UPDATED
Additional Math Textbook Solutions
A First Course in Probability (10th Edition)
College Algebra (7th Edition)
Elementary Statistics
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Pre-Algebra Student Edition
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
- 1 for all k, and set o (ii) Let X1, X2, that P(Xkb) = x > 0. Xn be independent random variables with mean 0, suppose = and Var Xk. Then, for 0x) ≤2 exp-tx+121 Στ k=1arrow_forwardLemma 1.1 Suppose that g is a non-negative, non-decreasing function such that E g(X) 0. Then, E g(|X|) P(|X|> x) ≤ g(x)arrow_forwardProof of this Theorem Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and set Var X = o². Then, for 0 0, P(X > x) ≤ e−1x+1²², P(|X|> x) ≤ 2e−x+1² 0²arrow_forward
- State and prove the Morton's inequality Theorem 1.1 (Markov's inequality) Suppose that E|X|" 0, and let x > 0. Then, E|X|" P(|X|> x) ≤ x"arrow_forward(iii) If, in addition, X1, X2, ... Xn are identically distributed, then P(S|>x) ≤2 exp{-tx+nt²o}}.arrow_forward5. State space models Consider the model T₁ = Tt−1 + €t S₁ = 0.8S-4+ Nt Y₁ = T₁ + S₁ + V₂ where (+) Y₁,..., Y. ~ WN(0,σ²), nt ~ WN(0,σ2), and (V) ~ WN(0,0). We observe data a. Write the model in the standard (matrix) form of a linear Gaussian state space model. b. Does lim+++∞ Var (St - St|n) exist? If so, what is its value? c. Does lim∞ Var(T₁ — Ît\n) exist? If so, what is its value?arrow_forward
- Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 203.8 ft and standard deviation 43.8 ft. You intend to measure a random sample of n = 211trees. The bell curve below represents the distribution of these sample means. The scale on the horizontal axis (each tick mark) is one standard error of the sampling distribution. Complete the indicated boxes, correct to two decimal places. Image attached. I filled in the yellow boxes and am not sure why they are wrong. There are 3 yellow boxes filled in with values 206.82; 209.84; 212.86.arrow_forwardCould you please answer this question using excel.Thanksarrow_forwardQuestions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forward
- Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. Then calculate it again, letting Row 2 represent the x-values and Row 1 the y-values. What effect does switching the variables have on r? Row 1 Row 2 13 149 25 36 41 60 62 78 S 205 122 195 173 133 197 24 Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. r=0.164 (Round to three decimal places as needed.) S 24arrow_forwardThe number of initial public offerings of stock issued in a 10-year period and the total proceeds of these offerings (in millions) are shown in the table. The equation of the regression line is y = 47.109x+18,628.54. Complete parts a and b. 455 679 499 496 378 68 157 58 200 17,942|29,215 43,338 30,221 67,266 67,461 22,066 11,190 30,707| 27,569 Issues, x Proceeds, 421 y (a) Find the coefficient of determination and interpret the result. (Round to three decimal places as needed.)arrow_forwardQuestions An insurance company's cumulative incurred claims for the last 5 accident years are given in the following table: Development Year Accident Year 0 2018 1 2 3 4 245 267 274 289 292 2019 255 276 288 294 2020 265 283 292 2021 263 278 2022 271 It can be assumed that claims are fully run off after 4 years. The premiums received for each year are: Accident Year Premium 2018 306 2019 312 2020 318 2021 326 2022 330 You do not need to make any allowance for inflation. 1. (a) Calculate the reserve at the end of 2022 using the basic chain ladder method. (b) Calculate the reserve at the end of 2022 using the Bornhuetter-Ferguson method. 2. Comment on the differences in the reserves produced by the methods in Part 1.arrow_forward
- MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
- Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman





