Practice Partial Differential Equations (5) - Bayes’ Theorem - Mathematics - iii (Differential Calculus) - Vol 3

Practice: Partial Differential Equations

Lesson 5Bayes’ Theorem

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define sample space in your own words.
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Think about all the results that can happen in an experiment.
Question 2.
What is the formula for conditional probability?
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Recall how two events relate in probability.
3Question 3.
What is Bayes' Theorem primarily used for?
- To calculate averages
- To update probabilities based on new evidence
- To find maximum values
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Think about how new information affects our beliefs.
4Question 4.
True or False: The prior probability is the updated probability after observing evidence.
- True
- False
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Recall what happens before any evidence is considered.
Question 5.
In a town, 2% of people have a rare disease. A test for this disease has a 98% true positive rate and a 10% false positive rate. If a randomly selected person tests positive, what is the probability they actually have the disease?
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Break down the probabilities step-by-step to deduce the final probability.
Question 6.
Explain the implications of using Bayes' Theorem in predicting stock market fluctuations. What would you need to consider?
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Focus on how new information can shift market perceptions and probabilities.

5 more questions in this section. Enroll free to practise them all.