Dr. Neel asks you if you would like to play a game of chance. He has a jar filled with 100 marbles. 90 of the marbles are colored blue, and the remaining 10 are colored yellow. You are allowed to reach in and draw one of the marbles at random. If you draw a blue marble, Dr. Neel will give you one point of extra credit on this quiz. If you draw a yellow marble, you lose 5 points on this quiz. What is the expected number of points that you gain on the exam by playing this game?
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.
Dr. Neel asks you if you would like to play a game of chance. He has a jar filled with 100 marbles. 90 of the marbles are colored blue, and the remaining 10 are colored yellow.
You are allowed to reach in and draw one of the marbles at random.
- If you draw a blue marble, Dr. Neel will give you one point of extra credit on this quiz.
- If you draw a yellow marble, you lose 5 points on this quiz.
What is the expected number of points that you gain on the exam by playing this game?
Total marbles, n= 100
Probability of selecting Blue marble= probability of earn 1 point= P(B)= 90/100 = 0.9
Probability of selecting yellow marble= probability of losing 5 points= 10/100 = 0.1
Step by step
Solved in 2 steps
