IB MAI HL Statistics & Probability Topic 4.3 Probability (id: 9a89fd0c9)

本题目来源于试卷: IB MAI HL Statistics & Probability Topic 4.3 Probability，类别为 IB数学

[问答题]
Austin allocates a pop6xdq h7o(+s srnn( 8tfr1h:q (k+7; wr emfedution of his employment salary each month to investing and invests this money into two stock funds:;(d(nee8r:wufmq fk+th1 rn7 A and B. He adjusts his investment portfolio each month according to the following transition diagram.



1. Construct a transition matrix $\boldsymbol{T}$ with elements in decimal form.
2. Interpret the meaning of the elements with values
1. 0.1
2. 0.7

The initial state of his investment portfolio is 100 % in stock fund B.
3. 1. Find the investment proportion in stock fund A after 3 months.
2. Determine the long term steady state proportion of his investment between the two stock funds.

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