A game is played with an unusual eight-sided die. Two faces of the die show a cat, four faces of the die show a dog and the rest of the faces show a snake. You roll this unusual die once. If the die shows a cat you get $9, if the die shows a dog you get $3 and if the die shows a snake you lose $20. Let random variable X be the amount of money you win after rolling this die once. #1. On your paper, write the probability distribution model for this random variable X (i.e. write down the possible values for the random variable X and the associated probabilities). Type "did it" in blank #1 below. #2 Use your work in #1 to calculate the expected value for this game played once. Show your work on paper and put your answer in blank #2 below. #3 Use your work in #1 to calculate the standard deviation for this game played once. Show your work on paper and put your answer in blank #3 below. (round to 2 decimal places if needed)
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 an unusual eight-sided die.
Two faces of the die show a cat, four faces of the die show a dog and the rest of the faces show a snake.
You roll this unusual die once. If the die shows a cat you get $9, if the die shows a dog you get $3 and if the die shows a snake you lose $20.
Let random variable X be the amount of money you win after rolling this die once.
#1. On your paper, write the probability distribution model for this random variable X (i.e. write down the possible values for the random variable X and the associated probabilities). Type "did it" in blank #1 below.
#2 Use your work in #1 to calculate the expected value for this game played once. Show your work on paper and put your answer in blank #2 below.
#3 Use your work in #1 to calculate the standard deviation for this game played once. Show your work on paper and put your answer in blank #3 below. (round to 2 decimal places if needed)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
