# Probability Distributions

## Learning Objectives

### 1. Understand the difference between a discrete and continuous probability distribution.

### 2. Understand a discrete distribution.

### 3. Understand the binomial distribution (discrete) and calculate probabilities of discrete outcomes.

### 4. Understand and calculate probabilities of the Poisson (discrete) distribution.

### 5. Understand the standard normal probability distribution (mean of zero, sd of 1).

### 6. Be able to apply the three sigma rule (68-95-99.7 rule).

### 7. Understand and be able to calculate z-scores.

### 8. Be able to find probabilities greater than, less than or within some range of z-scores from a normal probability table.

### 9. Understand the student’s t-distribution and be able to calculate probabilities from t-scores.

### Go to the next section on Discrete Probability Distributions.

### Go to the next section on Continuous Probability Distributions.

### Return to the Main Probability Page.

### This website was developed by Elizabeth A. Albright, PhD of the Nicholas School of the Environment, Duke University.