Practice Key Discrete and Continuous Distributions - 2 | Statistics | Mathematics III (PDE, Probability & Statistics)
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define the binomial distribution.

💡 Hint: Think about success and failures.

Question 2

Easy

What is the formula for the Poisson distribution?

💡 Hint: Recall the average occurrence.

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 the probability mass function of the binomial distribution?

💡 Hint: Think about combinations.

Question 2

True or False: The mean and variance of a Poisson distribution are both equal to λ.

💡 Hint: Consider characteristics of λ.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A factory produces light bulbs, and historically, 3% are defective. If 200 bulbs are selected, what is the probability of finding exactly 6 defective bulbs?

💡 Hint: First find the necessary combination and then apply the probabilities.

Question 2

In a small town, the average number of accidents at a certain intersection is 1.5 per month. Calculate the probability of observing exactly 3 accidents in a month.

💡 Hint: Remember to compute e raised to the negative of λ.

Challenge and get performance evaluation