STAT 270 Lecture Notes - Lecture 24: Exponential Distribution, Memorylessness, Jargon

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4 november 2015: remember midterm on friday. Joint pmfs not on midterm: memoryless property of exponential distribution and joint pmfs. I just started joint densities: we are nished up to slide 68 of continuous distributions , suggested problems: 5. 22, 5. 24, 5. 30, 5. 47 (a), 5. 49, we have covered up to page 98 in the text, handwritten slides, key jargon, ideas: If x has an exponential( ) distribution then. P (x > t + s|x > s) = p (x > t) = e t. If x and y are discrete then the joint pmf is p(x, y) = p (x = x, y = y). We have px py p(x, y) = 1. The pmf of x comes from the joint pmf by adding over y: px (x) = p (x = x) = x p(x, y). y. We call px (x) the marginal pmf. There is an analogous idea for continuous x and y called the joint density.

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