Continuous and Discrete Probability Distributions

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Continuous and Discrete Probability Distributions Powered By Docstoc
					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
6 – Your height
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
 Summarize in your own words:
• 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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posted:7/24/2013
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