Consider a standard 52 cards deck---52 cards in total, with 13 cards of each suit: hearts, diamonds, clubs, and spades. We select one card at random, records the outcome, put the card back to the deck and shuffle the deck. We repeat this operation two more times. In other words, we are sampling with replacement. Let X be the number of face card we got out of the 3 cards. Which of the following is the probability mass function of X? 3 3- 10 f (x) = for z 0, 1,2, 3 13 13 3-7 3 f (x) = () ()G) for z 0, 1, 2, 3 13 13 10 f (6) = (:) (G) for a = 0, 1, 2, 3,..., 12 %3D 13 13 3 3-# 10 f (x) = 13 for = 0, 1, 2, 3 13

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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Consider a standard 52 cards deck---52 cards in total, with 13 cards of each suit: hearts, diamonds,
clubs, and spades. We select one card at random, records the outcome, put the card back to the
deck and shuffle the deck. We repeat this operation two more times. In other words, we are
sampling with replacement. Let X be the number of face card we got out of the 3 cards.
Which of the following is the probability mass function of X?
3-
3
f (x) = ()
for r 0, 1, 2, 3
13
13
3-7
3
3.
f (x) =
10
for 0, 1, 2, 3
13
13
() (금) (H)
-(금)"()
3-7
f (x) =
for a = 0, 1, 2, 3, ..., 12
13
13
3
f (x) =
13
10
for a = 0, 1, 2, 3
13
Transcribed Image Text:Consider a standard 52 cards deck---52 cards in total, with 13 cards of each suit: hearts, diamonds, clubs, and spades. We select one card at random, records the outcome, put the card back to the deck and shuffle the deck. We repeat this operation two more times. In other words, we are sampling with replacement. Let X be the number of face card we got out of the 3 cards. Which of the following is the probability mass function of X? 3- 3 f (x) = () for r 0, 1, 2, 3 13 13 3-7 3 3. f (x) = 10 for 0, 1, 2, 3 13 13 () (금) (H) -(금)"() 3-7 f (x) = for a = 0, 1, 2, 3, ..., 12 13 13 3 f (x) = 13 10 for a = 0, 1, 2, 3 13
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