Need help answering the following questions
1. The table below shows the profits in millions of pounds for the winner of the third division in football in Anno. It is for the last 13 years (20082020). For example, the 2008 winner's profit was 3.8 million pounds. mmmmmmm 3.81 4.74 5.65 3.54 7.57 6.88 III a) Calculate the mean and median. Do these data have a mode? Why or why not? b) Compute the range, variance, and standard deviation for these data. 2. The draw for the quarter finals of the European Champions League in 2021 involved 3 Premier League teams. There were 4 matches involving a total of 8 teams. For the first match, Man City was drawn as the home side. Suppose Man City could have faced any other team, what was the probability of Man City's opponents being a Premier League team? 3. Two fair dice are thrown. What is the probability that the total score is 5? 4. In a survey, 500 randomly selected adults who drink coffee were asked whether they usually drink coffee with or without sugar. Of these 500 adults, 240 are men, and 175 drink coffee without sugar. Of the 240 men, 84 drink coffee without sugar. a) Draw a twoway classification table. b) Are the events drinking coffee without sugar and man independent? 5. The mean number of goals conceded by RIASA per match in the league is 1, using the Poisson distribution, what is the probability of RIASA conceding during a match, a) 1 (1) goal b) No (0) goals 6. In a 5-aside tournament, the average time RIASA football team scores a goal is 8 minutes. Assume RIASA goal scoring has a normal distribution with a mean of 8 minutes and a standard deviation of 2 minutes. a) Find the probability that RIASA would score a goal in less than 3 minutes. b) What is the probability of RIASA scoring a goal between 10 and 13 minutes? 7. The following data give information on the lowest cost ticket price (in dollars) and the average attendance (rounded to the nearest thousand) for the last year for six football teams. ----E-- a. Taking ticket price as an independent variable and attendance as a dependent variable, compute $.55, 5&3: and $30). b. Find the least squares regression line. c. Briefly explain the meaning of the values of a and b calculated in part b. d. Calculate r and r1 and briefly explain what they mean