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

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admin 发表于 2024-3-6 21:20:09 | 显示全部楼层 |阅读模式
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 porlcbp p/ hnsq5hay, i8 04gg);ation onnsbi2z.ljz +y m6t5 k 2kgz+*f his employment salary each month to investing and invests this money into two stock funds: A and B. He adjusts his investment portfolio each month accor+ i2mnzz6j k t.sk*+b5nlyz2g ding 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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