# Continuous and Discrete Probability Distributions

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```					Continuous and Discrete
Probability Distributions
Sections 7.1 and 8.1
Continuous vs. discrete
A discrete random variable has definite
boundaries between the different
outcomes
Continuous vs. discrete
A continuous random variable, has no
distinct boundary between the outcomes
Classify the following as discrete or
continuous random variables
1 – The number of steps you take to get home
2 – The number of pages in a book
3 – The thickness of a book
4 – The number of litres of water in the ocean
5 – The volume of water in the ocean
7 – How many inches tall you are
Probability of a Continuous
Random Variable
To find the probability of a continuous random variable, we can look at
the probability distribution
Eg) The life expectancy of a fruit fly is uniformly distributed from 10 to
30 hours
The life expectancy of a fruit fly is uniformly distributed from
10 to 30 hours

a) What is                               e) What is p(X = 25)?
b) What is
c) What is
d) What is
Estimating Continuous Data from Discrete
Information
•   Measure your height in inches and make a frequency diagram for
the class

Frequency

Height (inches)
Try these:
Continuous vs. Discrete Data
• Pg. 371, read example 1
• Pg. 371 #1
Recognizing Continuous Data Sets
• Pg. 419 #1, 2, 3a, b, 6
• What is the difference between a discrete
and continuous random variable?

• How do you calculate the probability of a
continuous random variable?

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