18.X.2. Assumptions of Binomial Distribution

Try these first

1. 1.

   Define the 'fixed number of trials' in the context of the binomial distribution.

   Hint

   Think about how many times we decide to conduct our test.

2. 2.

   What does it mean for trials to be independent?

   Hint

   Consider if the result of one affect the other.

3. 3.

   What is a key assumption of the binomial distribution regarding trials?

   • All outcomes must be successful
   • Trials must be fixed
   • Outcomes must not be binary

   Hint

   Think about the setup of an experiment before running it.

4. 4.

   True or False: In a binomial distribution, trials correlate with each other.

   • True
   • False

   Hint

   Recall the assumption about independence.

5. 5.

   Design a small experiment involving a fixed number of coin flips, describe how it follows the assumptions of the binomial distribution.

   Hint

   Consider how you would analyze the number of heads as successes.

6. 6.

   Describe a real-world case where the assumptions are violated, and explain the potential issues.

   Hint

   Think of situations where people might influence each other.