Chart Based Probability Section Rubber Balls in a Box Setup Stripes | Dots Stars Red 8. 15 12 Blue 7 3 14 Green 2 9 6 Experiment: The rubber balls all have the same size, texture, weight, etc. They cannot be distinguished without looking at them. The rubber balls are mixed around thoroughly in the box. One rubber ball is to be drawn randomly. Let X= the color on the rubber ball. Let Y = the pattern on the rubber ball. Use the rubber balls in a box setup. Find P( X = Green OR Y= Stars|). This is a short answered question. The correct answer is a fully simplified fraction.
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.
Let A1 be the event that the ball is red,A2 be the event that the ball is blue,A3 be the event that the ball is green.Similarly, let B1 be the event that the ball is stars,B2 be the event that the ball is stripes,B3 be the event that the ball is dots.Then, consider the following table:
| B1 | B2 | B3 | n(Ai) | |
| A1 | 8 | 15 | 12 | 35 |
| A2 | 7 | 3 | 14 | 24 |
| A3 | 2 | 9 | 6 | 17 |
| n(Bj) | 17 | 27 | 32 | 76 |
Step by step
Solved in 2 steps
