19.X.5. Comparison with Other Distributions

Try these first

1. 1.

   What type of distribution is the Poisson distribution?

   Hint

   Think about the outcomes it models.

2. 2.

   Is the Normal distribution a discrete or continuous distribution?

   Hint

   Consider its graphical representation.

3. 3.

   What is the type of the Poisson distribution?

   • Continuous
   • Discrete
   • Neither

   Hint

   Reflect on the outcomes it models.

4. 4.

   True or False: The Binomial distribution can produce values that exceed its maximum number of trials.

   • True
   • False

   Hint

   Think about the allowed outcomes.

5. 5.

   Discuss the scenarios in which the Poisson distribution is preferable over the Normal distribution for modeling.

   Hint

   Think of the nature of events.

6. 6.

   Given a factory produces 3 defective items per 100 produced, find the probability there are 2 defects in a batch of 200 using the Binomial approximation.

   Hint

   Calculate the mean defects, then apply Poisson formula.