A game is played with two fair 6-sided dice. The player rolls the dice. If the sum of the dice is 7 or less, the player loses $3. If the sum of the dice is 8, 9, or 10, the player breaks-even. If the sum of the dice is 11 or greater, the player wins $15. The random variable X is a player’s gain (in $) from playing this game. a) Find P(X = 0). Give your answer as a fraction in lowest terms. P(X = 0) = Blank 1. Fill in the blank, read surrounding text. b) Find E(X). Give your final answer as a decimal. If rounding, give to 2 decimal places. E(X) = Blank 2. Fill in the blank, read surrounding text. dollars c) Find the standard deviation s for the random variable X. Give the final answer as a decimal rounded to 2 decimal places. s = Blank 3. Fill in the blank, read surrounding text. dollars
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.
A game is played with two fair 6-sided dice. The player rolls the dice.
If the sum of the dice is 7 or less, the player loses $3.
If the sum of the dice is 8, 9, or 10, the player breaks-even.
If the sum of the dice is 11 or greater, the player wins $15.
The random variable X is a player’s gain (in $) from playing this game.
a) Find P(X = 0). Give your answer as a fraction in lowest terms.
P(X = 0) = Blank 1. Fill in the blank, read surrounding text.
b) Find E(X). Give your final answer as a decimal. If rounding, give to 2 decimal places.
E(X) = Blank 2. Fill in the blank, read surrounding text. dollars
c) Find the standard deviation s for the random variable X.
Give the final answer as a decimal rounded to 2 decimal places.
s = Blank 3. Fill in the blank, read surrounding text. dollars
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