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

5 - Partial Differential Equations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Define sample space in your own words.

💡 Hint: Think about all the results that can happen in an experiment.

Question 2 Easy

What is the formula for conditional probability?

💡 Hint: Recall how two events relate in probability.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is Bayes' Theorem primarily used for?

To calculate averages
To update probabilities based on new evidence
To find maximum values

💡 Hint: Think about how new information affects our beliefs.

Question 2

True or False: The prior probability is the updated probability after observing evidence.

True
False

💡 Hint: Recall what happens before any evidence is considered.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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?

💡 Hint: Break down the probabilities step-by-step to deduce the final probability.

Challenge 2 Hard

Explain the implications of using Bayes' Theorem in predicting stock market fluctuations. What would you need to consider?

💡 Hint: Focus on how new information can shift market perceptions and probabilities.

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