Question 3 (2 points) Listen 3. A professor wants to research about correlation between their students' performance and time spent on watching web-series. The professor asked 7 students about how many hours per week they spent on watching web-series and their grades in the last test. Following plot indicates the findings of this survey. 100 90 y = - 3.4438x + 96.202 R3 = 0.9353 80 70 60 50 40 30 20 10 2 6 8 10 12 14 Using above chart, answer the following questions. a) Find the value of the coefficient of correlation, rounded to three decimals. [ 1 mark] b) Using this model, if a student spent 7 hours/week on watching web-series, what would be their score on the test, rounded to two decimals? [1 mark] A A/ Question 4 (3 points) Listen 4. Determine the expected value and the standard deviation of the following probability distribution. Round final answers to two decimal places. X P(x) 1 0.44 2 0.25 3 0.19 4 0.12 a) Determine the expected value. [1 mark] b) Determine the standard deviation. [2 marks] A A/