Chapter 6: Continuous Probability Distributions

Question 1

Continuous Random Variable

Answer 1

a variable that can take on an infinite number of values within a given interval

Ex: time spent studying

Question 2

Continuous Probability Distribution

Answer 2

The probability distribution of a continuous random variable

Question 3

Probability that a CRV will take on a particular value

Answer 3

0

Question 4

Probability Density Function

Answer 4

the equation that describes a continuous probability distribution

AKA: density function or PDF

Question 5

Properties of the Normal Probability Distribution (6)

Answer 5

• 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

Question 6

Normal Curve

Answer 6

the graph of the normal probability distribution

Question 7

Terms that Describe the Space Below the Normal Curve (4)

Answer 7

• Area
• Proportion
• Percent
• Probability

Question 8

Inflection Points on the Normal Curve

Answer 8

+/- 1σ

Question 9

Empirical Rule

Answer 9

+/- 1σ = 68%

+/- 2σ = 95%

+/- 3σ = 99.7%

Question 10

Standard Normal Distribution

Answer 10

μ = 0
σ = 1

Question 11

Z-Score

Answer 11

A raw score in terms of standard deviations from the mean

+ = above mean
- = below mean