1. An enthusiastic team of MATH1050 students is conducting a survey to determine MATH1050 students' preferences for Zoom

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1 An Enthusiastic Team Of Math1050 Students Is Conducting A Survey To Determine Math1050 Students Preferences For Zoom 1 (94.83 KiB) Viewed 32 times

1. An enthusiastic team of MATH1050 students is conducting a survey to determine MATH1050 students' preferences for Zoom (Z) or face-to-face (f2f) lectures. The sample consists of 200 students. Of those attending f2f lectures in any week, 70% continue to attend f2f lectures in the following week while 30% switch to Zoom lectures; of those attending Zoom lectures in any week, 80% continue to atttend Zoom lectures in the following week while 20% switch to f2f lectures. These findings are summarised in the following figure. Suppose that when the survey begins, 120 students are attending f2f lectures and 80 students are attending Zoom lectures. 0.3 07 faf Z 10.8 0.2 (a) (1 mark) How many students will be attending Zoom lectures one week later? How many students will be attending f2f lectures one week later? Express your answer using matrices. (b) (1 mark) How many students will be attending Zoom lectures two weeks later? How many students will be attending f2f lectures two weeks later? Express your answer using matrices. (c) (3 marks) Derive an expression which gives the number of students attending Zoom lectures and the number of students attending f2f lectures after 13 weeks.