(S/Jci/Jlogy) A study ha~ determined thaI the occupation of a boy. as an adult depends

Chapter 8, Problem 11

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(S/Jci/Jlogy) A study ha~ determined thaI the occupation of a boy. as an adult depends upon the occupation of his father and is given by the following transition matrix where P = professional. F = farmer. and L = laborer: Father's ocCllpation [> F L I' [0' 0.3 Son's 02] F 0.1 0.5 0.2 occup,uion L 0.1 0.2 0.6 Thus the prohahility that the son of a professional willalso he a professional is 0.8. and so on.(a) What is the prohahility that the grandchild of a professionalwill also he a professional'!(b) In the long run. what proportion of the populationwill he farmers?

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