{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lecture12 - ECO ECO 220Y Random Variables and Probability...

Info icon This preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
ECO 220Y L 12 ECO 220Y Lecture 12 Random Variables and Probability Distributions Bi i t Di t ib ti Bivariate Distribution Migiwa Tanaka Reading 7.2 1
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
O tli Outline Bivariate Distribution Joint Probability/Density of Bivariate Random Variable Definition: Covariance Law of Expectation, Covariance, and Variance. 2
Image of page 2
E l (f 7 55) Example: (from 7.55) Canadian custom b b f Bottles of Liquor (Y) observes number of bottles of liquor and f Cartons of 0 1 cartons of cigarette over time. Cigarettes (X) 0 0.63 0.18 X= number of cigarette cartons. Either 0 or 1. 1 0.09 0.10 Y= number of liquor bottles Either 0 or 1 bottles. Either 0 or 1. How can we express the distribution of these two variables X and Y? 3
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Distributions Uni variate Probability Distribution: assigns probability of each the possible values for a single random variable Example: Tossing a coin ten times, Prob(Number of heads) Prob(Number of success of sales calls) Bi variate (or Joint) Probability Distribution: assigns b bili f h ibl i f l f probability of each possible pair of values for two random variables Example: Prob(L=0, C=1) from previous example.
Image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern