12.5. Graphical Representation of PMF

Try these first

1. 1.

   What type of graph is commonly used to represent a PMF?

   Hint

   Think about how discrete outcomes are typically visualized.

2. 2.

   If the PMF of a fair coin toss is represented in a graph, what are the possible values on the X-axis?

   Hint

   Consider the outcomes of a coin toss.

3. 3.

   What does the X-axis represent in a PMF graph?

   • Probabilities
   • Outcomes
   • Random Variables

   Hint

   Think about what we are trying to visualize regarding probabilities.

4. 4.

   The total height of all bars in a PMF graph must equal what?

   • True
   • False

   Hint

   Reflect on the properties of probabilities in a valid PMF.

5. 5.

   Design a PMF graph for flipping two coins and explain the height of each bar.

   Hint

   Count how many times each combination can occur.

6. 6.

   If you have a biased die where '6' appears 3 times as often as any other number, how would you calculate the PMF?

   Hint

   Consider the ratio of occurrences to total outcomes.