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- Calculate D, for the frequency distribution of monthly income of workers in a actory Income (in thousands) 0- 4 12 - 16 16 - 20 20 - 24 24 28 28 32 4 8 8- 12 No of persons 10 12 8 7 8 4 6. 5.Contracts for two construction jobs are randomly assigned to one or more of three firms, A, B, and C. Let Y, denote the number of contracts assigned to firm A and Y, the number of contracts assigned to firm B. Recall that each firm can receive 0, 1, or 2 contracts. The joint distribution of Y,, the number of contracts awarded to firm A, and Y,, the number of contracts awarded to firm B, is given by the entries in the following table. Y2 1 2 2 1 1 (a) Find the marginal probability distribution of Y,. Y2 Marginal Probability(d) Construct a conditional distribution of immigration opinion by ethnicity. Ethnicity Non-Hispanic Whites Blacks Hispanics Opinion Blacks Non-Hispanic Whites Hispanics Good thing 539 Good thing 185 152 144 Bad thing 372 Bad thing 107 105 33 Good and bad .049 Good and bad 9 14 12 No opinion 0.39 No opinion 11 Total 1 1 (Round to three decimal places as needed.) Print Done
- The following data give the number of turnovers (fumbles and interceptions) made by both teams in each of the football games played by a university during the 2014 and 2015 seasons. 2 3 1 1 6 5 3 s 1 5 2 a. Construct a frequency distribution table for these data using single-valued classes b. Calculate the relative frequency and percentage for each class. c. What is the relative frequency of games in which there were 4 or 5 turnovers? d. Draw a bar graph for the frequency distribution of part a.The following table gives the annual revenue for two different companies (in billions of dollars) for a 10-year period. Graph the boxplots for both companies on the same scale, Are the distributions similar? Year Company A Company B 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 D 97 50 98 100 105 73 72 93 90 85 100 94 104 75 56 56 62 72 85 80 What are the five-number summaries for both companies? Company A: Q, = Q, = Q3 =O Min = Max = Company B: Q, =| Q2 =0 Q3 = Min = Max = (Type integers or decimals.)The sale price of shares of a certain organization on each month during five years is mentioned as follows: 243 240 217 283 268 212 251 263 275 208 230 288 259 225 252 236 190 247 280 234 250 236 277 218 245 268 231 269 224 259 258 231 255 228 202 245 246 271 249 255 265 235 243 219 255 245 238 257 254 284 197 200 276 294 210 300 225 193 243 269 (a) Construct frequency distribution.(b) Sketch Histogram and Frequency Polygon.
- Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y denote the number of cars and buses, respectively, carried on a single trip. Suppose the joint distribution of X and Y is as given in the table below. у 1 2 0.010 0.015 0.030 0.020 0.075 0.050 0,090 0.060 0.060 0.040 0.030 0.095 Compute the expected revenue from a single trip. (Round your answer to two decimal places.) $17.47 x p(x,y) X 0 1 2 3 4 5 Need Help? Bed Road t 0 0.025 0.050 0.050 0.150 0.100 0.050Consider the following two distributions of total PAC contributions given to five members of Congress: Distribution 1:$20,000, $40,000, $60,000, $80,000, $100,000 Distribution 2:$20,000, $40,000, $60,000, $80,000, $1,000,000 Compute the mode(s), median, and mean for each. Verbally interpret each figure, and compare the two distributions.An urn has 6 balls numbered 1 through 6. Select 3 balls (at once). Let X denote the largest value selected. (For example, if ball numbered 2,3 and 5 were selected, then X = 5.) a. Find the distribution table for X. b. Evaluate E(X) and V(X). c. Let Y2X 3. Determine E(Y) and V (Y).
- A student is interested in whether students who study with music playing devote as much attention to their studies as do students who study under quiet conditions. He randomly assigns participants to either the music or no-music condition and has them read and study the same passage of information for the same amount of time. Participants are then all given the same 10-item test on the material. Their scores appear below. Scores on the test represent interval-ratio data and are normally distributed. music no-music 6 10 5 9 6 7 5 7 6 6 6 6 7 8 8 6 5 9 Please use the appropriate statistical test to analyze these data, and design a hypothesis testing process, get the conclusion about whether students who study with music playing devote as much attention to their studies as do students who study under quiet conditions. If significant, compute the effect size, interpret this, and draw a graph representing the data.There are four blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A blood bank wants to know how many donations will be required, on average, to achieve at least one of each of the blood types. Is it appropriate to use the geometric distribution to calculate probabilities in this situation? A) Yes, the geometric distribution is appropriate. B) No, since each trial is not independent of the other trials. C) No, because it is not looking for the first occurrence of success. D) No, since a success and failure on each trial cannot be defined.(a) Identify the shape of the distribution, and (b) determine the five-number summary. Assume that each number in the five-number summary is an integer. 10 - y - .. O D. The shape of the distribution cannot be determined from the boxplot. b. The five-number summary is | || ||||
