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

Test your understanding with targeted questions related to the topic.

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.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

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.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation