1. The conditional probability mass function of Y given that X = 3. 2. E[Y|X = 3]. 3. Var(YX). 4. Are X and Y independent?
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A small-business Web site contains 100 pages and 52%, 32%, and 16% of the pages contain low, moderate, and high graphic content, respectively. A sample of four pages is selected without replacement, and X and Y denote the number of pages with moderate and high graphics output in the sample. Determine the following:
![1. The conditional probability mass function of Y given that X = 3.
2. E[Y|X = 3].
3. Var(YX).
4. Are X and Y independent?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb01e0559-1b03-4a1c-ac9c-ab3a35fb5acd%2F463b2bd0-f0ec-45eb-916b-94c882c39d70%2Fhg63njp_processed.png&w=3840&q=75)
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- A random sample of cars categorized by small, medium and large was selected to investigate whether the size of the cars appears to affect highway fuel consumption. The factor levels a. size of cars O b. small, medium, largeThe midterm grades of randomly picked eight students in an MMW class are as follows: 84, 90, 74, 84, 83, 89, 94, 79. What is the coefficient of variation? 6.608% 7.87% 84 2.50%Consider the U.S. Electoral College System. For each of the 50 states, determine the number of delegates received. Create a frequency table with 8 classes.
- Virginia polled a large sample of individuals to find the percentage of students with known food allergies and the percentage of students without known food allergies. Which of the following could sufficiently display the data if only the two given categories are to be included? Select the correct answer below: bar graph pie chart either a pie chart or a bar graph neither a pie chart nor a bar graphA case-control study was conducted to examine the association between lung cancer and smoking in men. The case group contains 500 patients, who were diagnosed with lung cancer. Five hundred age-matched patients were recruited as controls. The study found that 50% of cases were regular smoking and the proportion is 20% among controls. a. Create a 2x2 table based on the given informationA college student is interested in whether presoaking time has an effect on cleanliness of clothing. He collects the dirty clothes from all of the people in his dorm and randomly assigns clothing to one of four presoak time conditions: 5 minutes, 10 minutes, 15 minutes, 20 minutes. He then asks members of another dorm to rate the cleanliness of the items (they don’t know which clothing got which soaking time). The data are presented below. C) Perform an LSD test and answer the questions that follow (SHOW ALL WORK!!! This can be on the same page as your other ANOVA hand work. Make sure it is inserted and/or uploaded): df error = tcrit (df error) MS error = s = LSD = _____________ Mean Comparisons: Mean5 min vs. Mean10 min = | ___ __ | = ___ ___ Greater than (>) LSD value? __ ___ Significant?__ ___ Mean10 min vs. Mean15 min = |__________________| = ______ Greater…
- The Condé Nast Traveler Gold List provides ratings for the top 20 small cruise ships. The data shown below are the scores each ship received based upon the results from Condé Nast Traveler's Annual Readers' Choice Survey. Each score represents the percentage of respondents who rated a ship as excellent or very good on several criteria, including Shore Excursions and Food/Dining. An overall score was also reported and used to rank the ships. The highest ranked ship, the Seabourn Odyssey, has an overall score of 94.4, the highest component of which is 97.8 for Food/Dining. Shore Ship Overall Food/Dining Excursions Seabourn Odyssey 94.4 90.9 97.8 Seabourn Pride 93.0 84.2 96.7 National Geographic Endeavor 92.9 100.0 88.5 Seabourn Sojourn 91.3 94.8 97.1 Paul Gauguin 90.5 87.9 91.2 Seabourn Legend 90.3 82.1 98.8 Seabourn Spirit 90.2 86.3 92.0 Silver Explorer 89.9 92.6 88.9 Silver Spirit 89.4 85.9 90.8 Seven Seas Navigator 89.2 83.3 90.5 Silver Whisperer 89.2 82.0 88.6 National Geographic…People often match their behavior to their social environment. One study of this idea first established that the type of music most preferred by black college students is R&B and that white college students' most preferred music is rock. Will students hosting a small group of other students choose music that matches the makeup of the people attending? Assign 9090 black business students at random to three equal‑sized groups. Do the same for 9696 white students. Each student sees a picture of the people he or she will host. Group 1 sees six blacks, Group 2 sees three whites and three blacks, and Group 3 sees six whites. Ask how likely the host is to play the type of music preferred by the other race. Use ANOVA to compare the three groups to see whether the racial mix of the gathering affects the choice of music.The five-number summary of a dataset was found to be: 1, 4, 13, 16, 18 An observation is considered an outlier if it is below: An observation is considered an outlier if it is above:
- A statistics teacher asked two different students, Lexie and Jennifer, to go to Wegmans and sample 30 shoppers each. The population of interest for both people can be defined as, “People who shop at the Johnson City, NY Wegmans store”. Here is what each person did to collect their sample: Lexie: She stood outside at the entrance to the store on 3 different days and times and surveyed every 15th person to walk by her. She surveyed 10 people each time to get her 30. Jennifer: She went to Wegmans after her nursing shift first thing Wednesday morning to buy deodorant since she ran out. When she was in the pharmacy area she surveyed all the people around her and then, to get up to 30 surveys, she went to the health food section and surveyed everyone she was there. Identify at least 2 specific reasons why Lexie’s approach is more likely to give a representative sample. Consider sources of bias, or types of shoppers who might be excluded by Jennifer’s approach.…The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Weekly Television Newspaper Gross Revenue Advertising Advertising ($1,000s) ($1,000s) ($1,000s) 97 5.0 1.5 2.0 2.0 06 95 4.0 1.5 92 2.5 2.5 103 3.0 3.3 94 3.5 2.3 94 2.5 4.2 105 3.0 2.5 a. Develop an estimated regression equation with the amount of television advertising as the independent variable (to 1 decimal). Revenue = TVAdv b. Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables (to 2 decimals). Revenue = TVAdv + NVAdv c. Is the estimated regression equation coefficient for television advertising expenditures the same in part (a) and in part (b)? - Select your answer - Interpret the coefficient in each case. In - Select your answer - :, the coefficient is an estimate of the change in revenue due to a one-unit change in…
