We play a card game where we receive 13 cards at the beginning out of a deck of 52. We play 50 games in one evening. For each of the following random variables identify the name and the parameters of the distribution. a. The number of aces I get in the first game. b. The number of games in which I receive at least one ace during the evening. c. The number of games in which all my cards are from the same suit.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
We play a card game where we receive 13 cards at the beginning out of a deck of 52. We play 50 games in one evening. For each of the following random variables identify the name and the parameters of the distribution.
a. The number of aces I get in the first game.
b. The number of games in which I receive at least one ace during the evening.
c. The number of games in which all my cards are from the same suit.
a)
It's a problem of hypergeometric distribution where we are given with 13 cards from a deck of 52 cards.
The number of aces = 4
Here, the parameters of the hypergeometric distribution are:
n = 13,
N = 52,
k (aces) = 4
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