Practice Examples - 18.X.4 | 18. Binomial Distribution | 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

What is the probability of getting exactly 2 heads when tossing a coin 4 times?

πŸ’‘ Hint: Remember to define n, k, and p before calculating.

Question 2

Easy

A factory produces 90% defect-free products. What is the probability that out of 10 products, exactly 9 are defect-free?

πŸ’‘ Hint: Use the PMF formula to solve this.

Practice 1 more question and get performance evaluation

Interactive Quizzes

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

Question 1

What is the PMF formula for the Binomial Distribution?

πŸ’‘ Hint: Think about how to express combinations and probabilities.

Question 2

Is it true that the Binomial Distribution can only have two outcomes?

  • True
  • False

πŸ’‘ Hint: Remember the definition of a Bernoulli trial.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

In a city, 30% of the population is a smoker. If we survey 15 people, what is the probability that exactly 5 are smokers?

πŸ’‘ Hint: Use the binomial probability formula and remember to calculate the binomial coefficient.

Question 2

A basketball player has a free throw success rate of 75%. If he takes 20 shots, what is the probability that he scores exactly 15 times?

πŸ’‘ Hint: Keep track of your n, k, p, and q when calculating.

Challenge and get performance evaluation