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}?
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}?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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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