- Understand the concept of a probability distribution and its role in describing the behavior of a random variable.
- Describe the characteristics of probability distributions.
Sometimes we carry out a chance experiment multiple times and count the number of “successes.” To describe this scenario, we could use a probability distribution, which lists all possible values of a random variable and the probabilities associated with those values.
- Heads on the first flip and heads on the second flip
- Heads on the first flip and tails on the second flip
- Tails on the first flip and heads on the second flip
- Tails on the first flip and tails on the second flip
You may have to define “success” in different scenarios. For example, you may define “success” and create the probability distribution for the number of heads or tails that would occur in [latex]2[/latex] coin flips.