Probability and Statistics in latex codeJust d and e 4.2 Define a random variable X by the following procedure. Draw a card from a standard deck of playing cards. If the cardis knave, queen, or king, then X = 11. If the card is an ace, then X = 1; otherwise, X is the number of the card (i.e. twothrough ten). Now define a second random variable Y by the following procedure. When you evaluate X, you look at thecolor of the card. If the card is red, then Y = X - 1; otherwise, Y = X + 1.(a) What is P({X ≤ 2})?(b) What is P({X ≥ 10})?(c) What is P({X ≥ Y})?(d) What is the probability distribution of Y - X?(e) What is P({Y ≥ 12}?

Answered: Image /qna-images/answer/3e542e95-0c6e-4a46-aefa-b4c3742f3154.jpg

Answered: n). Now define a second random variable…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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n). Now define a second random variable Y by the following procedure. When you evalua e card. If the card is red, then Y = X - 1; otherwise, Y = X + 1. is P({X ≤ 2})? ■s P({X ≥ 10})? is P({X ≥ Y})? is the probability distribution of Y - X? e ROY 13}?