Thus the probability that the son of a professional will also be a professional is o.80 and so on. a. What is the probability that a grand child of a professional will also be a professional? b. In the long run, what proportion of the population will be a farmer

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.7: Cooridinates And Change Of Basis
Problem 57E
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Thus the probability that the son of a
professional will also be a professional
is o.80 and so on.
a. What is the probability that a grand
child of a professional will also be a
professional?
b. In the long run, what proportion of
the population will be a farmer
Transcribed Image Text:Thus the probability that the son of a professional will also be a professional is o.80 and so on. a. What is the probability that a grand child of a professional will also be a professional? b. In the long run, what proportion of the population will be a farmer
3. A study has determined that 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 Occupation
P F
L
0.80 0.30 0.20
0.10 0.50 0.20
0.10 0.20 0.60
P Son's
F Occupation
Transcribed Image Text:3. A study has determined that 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 Occupation P F L 0.80 0.30 0.20 0.10 0.50 0.20 0.10 0.20 0.60 P Son's F Occupation
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