1. 7.1 Continuous Probability Distribution

2. Discrete Vs. Continuous Last chapter we dealt mostly with discrete data (number of things happening that usually involves counting). In this chapter we are going to look more at continuous variables.

4. Continuous Random Variable Many Natural Phenomenon are Continuous (fractions/decimals) and require a continuous distribution to be modeled. – Ex: Measurements » Lengths, Heights, Time, Lifespans, etc

5. Continuous Random Variable A continuous random variable X measures a continuous quantity.

7. Continuous Probability Distribution

8. Continuous Unlike a discrete random variable which we studied in Chapter 7, a Continuous Random Variable, is one that assume an Uncountable number of values We cannot list the possible values because there could be an infinite number of them. Because there is an infinite number of values, the probability of each individual value is virtually 0.

9. Probability with Continuous

10. Discrete probabilities Vs. Continuous

11. The Normal Distribution

14. Types Of Curves Bell CurveBimodal 2 Modes Positive SkewNegative SkewUniform Heights of People Shoe sizes in School Populations Many students with size 7 and size 9 Number of children in Canadian families Many small families, few large families Time needed to finish 2 hour exam Few people finish early, many will use a lot of the time The probability of rolling dice. Each of the outcomes is equally likely

15. Uniform Distribution The download time of a video from YouTube is found to range evenly between 22 and 39 seconds. – What is the probability that the download will take less than 30 seconds? – What is the probability that the download will take between 30 and 35 seconds?

16. Continuous Uniform Probability Distribution

17. Assignment Pg 328 #’s 1-4, 7