The main topic is Markov Chains: Students in Geology class never know what is going to happen in the class, as the teacher may: give them a pop quiz, take them to field practice, analyze the topic of the day, or lecture on a special topic. If one day there is a test, the next day there is always a field practice. If one day there is field practice, the next day there is no practice or test, but there is still a chance of the day's topic or special lecture. of the day or of the special lecture. If on a certain day the topic is tested, the probabilities for the next day are ¼ for the test, 1/6 for the topic and 1/3 for the lecture. and 1/3 for the lecture. If one day there is a lecture, the odds for the next day are ¼ for the test, 1/8 for the practice, 1/8 for the topic analysis and ½ for the lecture. for the analysis of the topic and ½ for the lecture. One of the students has calculated that they can expect quizzes 43/287 of the lecture days; field practice 72/287 of the class days; topic analysis 60/287 of the class days; and lectures 112/287 of the class days. Are these calculations correct?
The main topic is Markov Chains:
Students in Geology class never know what is going to happen in the class, as the teacher may:
give them a pop quiz,
take them to field practice,
analyze the topic of the day, or
lecture on a special topic.
If one day there is a test, the next day there is always a field practice.
If one day there is field practice, the next day there is no practice or test, but there is still a chance of the day's topic or special lecture.
of the day or of the special lecture.
If on a certain day the topic is tested, the probabilities for the next day are ¼ for the test, 1/6 for the topic and 1/3 for the lecture.
and 1/3 for the lecture.
If one day there is a lecture, the odds for the next day are ¼ for the test, 1/8 for the practice, 1/8 for the topic analysis and ½ for the lecture.
for the analysis of the topic and ½ for the lecture.
One of the students has calculated that they can expect quizzes 43/287 of the lecture days; field practice
72/287 of the class days; topic analysis 60/287 of the class days; and lectures 112/287 of the class days.
Are these calculations correct?
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