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Continuous and Discrete Probability Distributions

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.

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Continuous and Discrete Probability Distributions

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  1. Continuous and Discrete Probability Distributions Sections 7.1 and 8.1

  2. Continuous vs. discrete A discrete random variable has definite boundaries between the different outcomes

  3. Continuous vs. discrete A continuous random variable, has no distinct boundary between the outcomes

  4. 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

  5. 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

  6. The life expectancy of a fruit fly is uniformly distributed from 10 to 30 hours • What is • What is • What is • What is e) What is p(X = 25)?

  7. Estimating Continuous Data from Discrete Information • Measure your height in inches and make a frequency diagram for the class Frequency Height (inches)

  8. 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

  9. 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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