MATH2560H Target Concept 02 Probability Mass Functions
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Target Concept 02
Probability Mass Functions
1 Finding PMFs from Word Problems
1. 1 Baseball
Consider a baseball player with 300 batting average (i.e. hits the ball 30% of the time). Let X be the number of times they miss, and suppose that they try to hit the ball 4 times.
1. What is the PMF of X ?
2. Sketch the PMF found in (a).
3. What is the probability that they will hit the ball more than once out of the four attempts?
1.2 Dice
I roll a D6 die twice, and X represents the number of times I roll a 3. Find the PMF of X .
Specifications for Success
To obtain satisfactory on this assignment, all of the criteria below must be met
• All problems are attempted.
• Concluding statements are present where appropriate.
• Logic for derivation of PMFs is recorded and coherent.
• Probability mass function derivations are correct.
• Probability calculations are correct.
2023-02-22