Continuous and Discrete Probability Distributions Sections 7.1 and 8.1.

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Presentation transcript:

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 b)What is c)What is d)What is e) What is p(X = 25)?

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?