Practice Interpretation of Terms - 5.X.4 | 5. Bayes’ Theorem | Mathematics - iii (Differential Calculus) - Vol 3
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5.X.4 - Interpretation of Terms

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does prior probability refer to in Bayes' Theorem?

💡 Hint: Think about what you know before an event occurs.

Question 2

Easy

Define likelihood in the context of Bayes' Theorem.

💡 Hint: It's about determining evidence related to a belief.

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 does prior probability represent in Bayes’ Theorem?

  • Updated belief
  • Initial belief
  • Likelihood of evidence

💡 Hint: Remember, it’s about what we know before seeing new evidence.

Question 2

True or False: Posterior probability is the same as prior probability.

  • True
  • False

💡 Hint: Think about what happens after you see new evidence.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A disease is known to affect 3% of the population. A new test has a 97% sensitivity (true positive) and a 4% false positive rate. Calculate the posterior probability of having the disease given a positive test result.

💡 Hint: Remember to consider both true positives and false positives in your calculations.

Question 2

In a game show, a contestant initially selects one door out of three, then the host opens another door, revealing no prize behind it. If the contestant switches doors after the host reveals a door, what's the likelihood of winning the prize compared to sticking with the first choice?

💡 Hint: Think about how the prior and posterior probabilities change with available evidence.

Challenge and get performance evaluation