Question

10. (-/3.22 Points) DETAILS LARLINALG8 2.5.014. ASK YOUR TEACHER Students in a gym class have a choice of swimming or playing basketball each day. Ten percent of the students who swim one day will swim the next day. Sixty percent of the students who play basketball one day will play basketball the next day. Today, 200 students swam and 250 students played basketball. How many students will swim tomorrow, in two days, and in four days? (Round your answers to the nearest whole number.) (a) tomorrow students (b) two days students (c) four days students

Answer 1

Sola let the state vedta be x = (0) where x =20.0f people who roam , X = no of people who plays basket ball. The stochastic matrix will be 0:41) 06 carment state o (20) 250 @ Distribution of studente tommorow is PX (120) Nos of people who will swam = 120. 6 Distribation of students after 2 days is, p²x = (0.37 0.28 (2001 144 (306) (0.63 0.72 250 nozof people conto will swam = 144. © Distribution of students after 4 days is (0.3133 0.30521/2001 (138-96 puxo 006867 P. 6948 250 811.04 no. of people who coin eam is around 134 21.00