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1.22. In a test paper the questions are arranged so that 3/4’s of the time a True
answer is followed by a True, while 2/3’s of the time a False answer is followed
by a False. You are confronted with a 100 question test paper. Approximately
what fraction of the answers will be True.
1.23. In unproﬁtable times corporations sometimes suspend dividend payments. Suppose that after a dividend has been paid the next one will be paid
with probability 0.9, while after a dividend is suspended the next one will be
suspended with probability 0.6. In the long run what is the fraction of dividends
that will be paid?
1.24. Census results reveal that in the United States 80% of the daughters
of working women work and that 30% of the daughters of nonworking women
work. (a) Write the transition probability for this model. (b) In the long run
what fraction of women will be working?
1.25. When a basketball player makes a shot then he tries a harder shot the
next time and hits (H) with probability 0.4, misses (M...
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- Spring '10
- The Land