Suppose on a fair 8-sided die, The gambler rolls the die where the gambler loses $6 if a 1,2,3, or 4 is rolled. While on a roll of 5, 6, 7, 8 the gambler wins that amount. Let, the game is played until an 8 is rolled. Let Tbe the random variable that models the number of rolls required to get an 8. What kind of random variable best models T? "SHOW THE WORK" Pick the correct answer: Geometric with p=1/8 Binomial with p=1/8 Poisson with λ = 7/8 Negative Binomial with p=1/8 Hypergeometric with n=8
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.
Suppose on a fair 8-sided die, The gambler rolls the die where the gambler loses $6 if a 1,2,3, or 4 is rolled. While on a roll of 5, 6, 7, 8 the gambler wins that amount. Let, the game is played until an 8 is rolled. Let Tbe the random variable that models the number of rolls required to get an 8. What kind of random variable best models T?
"SHOW THE WORK"
Pick the correct answer:
- Geometric with p=1/8
- Binomial with p=1/8
- Poisson with λ = 7/8
- Negative Binomial with p=1/8
- Hypergeometric with n=8
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