A research project looked at the main occupation of a sample of people attending the gym, all aged twenty one when the research project began. The categories of full-time study (s), full-time paid work(w) and other activities (o], such as What proportion of people in the research project who are currently studying are volunteer activities, child-care and so on were used in the project. predicted to be working next year? The number of people engaged in study, work or other activities at the start of the project Is given by initial state matrix $ where 865 5 50 = 345 W 26 (1 mark) .. I S TS, find the matrix S How many people were rveyed in this project? (1 mark) Using data from similar groups together with interview data, a transition matrix T, was [1 mark) created. This matrix models the anticipated movements of this group between study, work and How many of the people involved in the research project moved from other other activities into the future. activities to full-time work in the first year of the project? Express your answer to this year the nearest whole number. SW 02 01 015 7 07 08 03w mycar 0101 4 (1 mark) How many people involved in the research project are expected to be working after five years? Express your answer to the nearest whole number. Find the element Tu and explain its meaning- (2 marks) Explain why a 0 6 (1 mark) (1 mark) In the long term, determine the number of people in each category, correct to ] significant figures