uppose 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. Lets imagine the game is played 20 times. Let R be the random variable that counts the number of times that an 8 is rolled. Whats the expected value and variance of R are? "SHOW THE WORK" Pick the correct answer: E[R]=1, Var[R]=1 E[R]=3/2, Var[R]=15 E[R]=2, Var[R]=1 E[R]=5/2, Var[R]=35/16 E[R]=3, Var[R]=7/8
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. Lets imagine the game is played 20 times. Let R be the random variable that counts the number of times that an 8 is rolled. Whats the
"SHOW THE WORK"
Pick the correct answer:
- E[R]=1, Var[R]=1
- E[R]=3/2, Var[R]=15
- E[R]=2, Var[R]=1
- E[R]=5/2, Var[R]=35/16
- E[R]=3, Var[R]=7/8
- E[R]=7/2,Var[R]=1
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