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A professor of Statistics not wanting to be predictable, decides on an innovative way of assigning
homework based on probabilities. On the first day of the week, he draws a transition diagram as shown
in Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)
assignments. The transition probabilities for day 1 are as shown in the figure?
homework based on probabilities. On the first day of the week, he draws a transition diagram as shown
in Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)
assignments. The transition probabilities for day 1 are as shown in the figure?
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A professor of Statistics not wanting to be predictable, decides on an...
Introduction
A professor of Statistics has come up with an innovative way of assigning homework based on probabilities. The professor draws a transition diagram on the first day of the week to decide the credit assignments for the week.
Transition Diagram
The transition diagram is shown in Figure 1. The nodes in the diagram represent the credit assignments which are full credit (F), half credit (H), and no credit (N).
Transition Probabilities
The transition probabilities for day 1 are as follows:
- Probability of moving from F to F is 0.4
- Probability of moving from F to H is 0.2
- Probability of moving from F to N is 0.4
- Probability of moving from H to F is 0.6
- Probability of moving from H to H is 0.3
- Probability of moving from H to N is 0.1
- Probability of moving from N to F is 0.3
- Probability of moving from N to H is 0.4
- Probability of moving from N to N is 0.3
Explanation
The transition probabilities for day 1 determine the likelihood of moving from one credit assignment to another. For example, if a student receives full credit (F) on day 1, there is a 40% chance that they will receive full credit again on day 2, a 20% chance that they will receive half credit (H), and a 40% chance that they will receive no credit (N).
Similarly, if a student receives half credit (H) on day 1, there is a 60% chance that they will receive full credit on day 2, a 30% chance that they will receive half credit again, and a 10% chance that they will receive no credit.
The transition probabilities help to create an element of unpredictability in the credit assignments, which can motivate students to work harder throughout the week.
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A professor of Statistics not wanting to be predictable, decides on an innovative way of assigninghomework based on probabilities. On the first day of the week, he draws a transition diagram as shownin Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)assignments. The transition probabilities for day 1 are as shown in the figure?
Question Description
A professor of Statistics not wanting to be predictable, decides on an innovative way of assigninghomework based on probabilities. On the first day of the week, he draws a transition diagram as shownin Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)assignments. The transition probabilities for day 1 are as shown in the figure? for Engineering Mathematics 2024 is part of Engineering Mathematics preparation. The Question and answers have been prepared according to the Engineering Mathematics exam syllabus. Information about A professor of Statistics not wanting to be predictable, decides on an innovative way of assigninghomework based on probabilities. On the first day of the week, he draws a transition diagram as shownin Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)assignments. The transition probabilities for day 1 are as shown in the figure? covers all topics & solutions for Engineering Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A professor of Statistics not wanting to be predictable, decides on an innovative way of assigninghomework based on probabilities. On the first day of the week, he draws a transition diagram as shownin Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)assignments. The transition probabilities for day 1 are as shown in the figure?.
A professor of Statistics not wanting to be predictable, decides on an innovative way of assigninghomework based on probabilities. On the first day of the week, he draws a transition diagram as shownin Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)assignments. The transition probabilities for day 1 are as shown in the figure? for Engineering Mathematics 2024 is part of Engineering Mathematics preparation. The Question and answers have been prepared according to the Engineering Mathematics exam syllabus. Information about A professor of Statistics not wanting to be predictable, decides on an innovative way of assigninghomework based on probabilities. On the first day of the week, he draws a transition diagram as shownin Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)assignments. The transition probabilities for day 1 are as shown in the figure? covers all topics & solutions for Engineering Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A professor of Statistics not wanting to be predictable, decides on an innovative way of assigninghomework based on probabilities. On the first day of the week, he draws a transition diagram as shownin Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)assignments. The transition probabilities for day 1 are as shown in the figure?.
Solutions for A professor of Statistics not wanting to be predictable, decides on an innovative way of assigninghomework based on probabilities. On the first day of the week, he draws a transition diagram as shownin Figure 1. The nodes of the diagram represent full credit (F), half credit (H) and no credit (N)assignments. The transition probabilities for day 1 are as shown in the figure? in English & in Hindi are available as part of our courses for Engineering Mathematics .
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