Reference no: EM132975447
In the Dark Ages, Harvard, Dartmouth, and Yale universities admitted only male students.
Assuming that, at that time, 80% of the sons of Harvard men went to Harvard and the rest went to Yale.
Assuming that 40% of the sons of Yale men went to Yale, and the rest split evenly between Harvard and Dartmouth;
Assuming that 70% of the sons of Dartmouth men went to Dartmouth, 20% to Harvard, and 10% to Yale.
Considering that over a total population of 500 men attending universities, 250 were registered at Dartmouth, 150 were registered at Yale and the remaining were registered at Harvard.
Considering that actual state is π = {H, D, Y}
a) Find the vector state
b) Find the transition matrix
c) Find the probability that the grandson of a man from Harvard went to Harvard providing your interpretation.
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