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the following procedure. Draw a card from a standard deck of pla 11. If the card is an ace, then X = 1; otherwise, X is the numb random variable Y by the following procedure. When you evalu hen Y = X – 1; otherwise, Y = X + 1. ion of Y - X?

the following procedure. Draw a card from a standard deck of pla 11. If the card is an ace, then X = 1; otherwise, X is the numb random variable Y by the following procedure. When you evalu hen Y = X – 1; otherwise, Y = X + 1. ion of Y - X?

MATLAB: An Introduction with Applications
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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4.2 Define a random variable X by the following procedure. Draw a card from a standard deck of playing cards. If the card is 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. two through ten). Now define a second random variable Y by the following procedure. When you evaluate X, you look at the color 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}?
Transcribed Image Text:4.2 Define a random variable X by the following procedure. Draw a card from a standard deck of playing cards. If the card is 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. two through ten). Now define a second random variable Y by the following procedure. When you evaluate X, you look at the color 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}?
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