Darts: Alex, being bored since her friends from L3? are still doing Assignment 3, decides to play darts to pass the time to fill the void that doing 8 probability questions one day before the deadline had created. The dartboard is a unit cirele centered at the origin. Given that when Alex throws a dart, it lands uniformly on the dartboard and the coordinate it lands on is mapped by the pair of random variables (X,Y). (Remember that when X = 0, Y = 0), Alex hits at the center of the dartboard. a) Find the joint PDF. b) Find the marginal PDF for X c) required. Just answer and justification is sufficient). Find P(X > 0,Y > 0). (This question can be solved intuitivey, excessive working is not

Darts: Alex, being bored since her friends from L3? are still doing Assignment 3, decides to play darts to pass the time to fill the void that doing 8 probability questions one day before the deadline had created. The dartboard is a unit cirele centered at the origin. Given that when Alex throws a dart, it lands uniformly on the dartboard and the coordinate it lands on is mapped by the pair of random variables (X,Y). (Remember that when X = 0, Y = 0), Alex hits at the center of the dartboard. a) Find the joint PDF. b) Find the marginal PDF for X c) required. Just answer and justification is sufficient). Find P(X > 0,Y > 0). (This question can be solved intuitivey, excessive working is not

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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