Discrete_Random_Variable probabilty.pptx

Discrete_Random_Variable probabilty.pptx

1. Discrete Random Variable

2. Definition A discrete random variable is a variable that can take on only specific, separate values. It is countable and often represents things that can be counted, not measured.

3. Examples - Number of students in a class - Number of heads in 3 coin tosses - Number of cars passing a checkpoint

4. Graph Illustration The probability distribution of a discrete random variable can be represented by a bar graph. Example: P(X) for X = number of heads in 3 coin tosses: X: 0 1 2 3 P(X): 1/8 3/8 3/8 1/8

5. Summary • Takes countable values • Represented by probability mass function (PMF) • Example: number of students, dice outcomes