Chapter 6: Continuous Probability Distributions Flashcards
Continuous Random Variable
a variable that can take on an infinite number of values within a given interval
Ex: time spent studying
Continuous Probability Distribution
The probability distribution of a continuous random variable
Probability that a CRV will take on a particular value
0
Probability Density Function
the equation that describes a continuous probability distribution
AKA: density function or PDF
Properties of the Normal Probability Distribution (6)
- bell shaped
- symmetrical about the mean
- total area under the curve = 1 or 100%
- mean = median = mode
- tails approach the x-axis
- tails extend to infinity
Normal Curve
the graph of the normal probability distribution
Terms that Describe the Space Below the Normal Curve (4)
- Area
- Proportion
- Percent
- Probability
Inflection Points on the Normal Curve
+/- 1σ
Empirical Rule
+/- 1σ = 68%
+/- 2σ = 95%
+/- 3σ = 99.7%
Standard Normal Distribution
μ = 0
σ = 1
Z-Score
A raw score in terms of standard deviations from the mean
+ = above mean
- = below mean