1. A motorcycle drives from Morayta to Lacson and back using the same course everyday. There are four stoplights on the course. Let x denote the number of red lights the motorcycle encounters going from Morayta to Lacson and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by 2 3 0.01 0.01 0.03 0.07 0.01 0.03 0.05 0.08 0.03 0.02 2 0.03 0.11 0.15 0.01 0.01 0.01 0.01 0.02 0.07 0.06 0.1 0.03 4 0.01 0.03 0.01 (g) Give the standard deviation of X. Answer=
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 motorcycle drives from Moraytato Lacson and back using the same course everyday. There are four stoplights on the course.
Let x denote the number of red lights the motorcycle encounters going from Morayta to Lacson and y denote the number encountered on the return trip. Data collected over a long period suggest that the joint probability distribution for (x, y) is given by
|
x |
||||
y |
0 |
1 |
2 |
3 |
4 |
0 |
0.01 |
0.01 |
0.03 |
0.07 |
0.01 |
1 |
0.03 |
0.05 |
0.08 |
0.03 |
0.02 |
2 |
0.03 |
0.11 |
0.15 |
0.01 |
0.01 |
3 |
0.02 |
0.07 |
0.1 |
0.03 |
0.01 |
4 |
0.01 |
0.06 |
0.03 |
0.01 |
0.01 |
(g) Give the standard deviation of X. Answer=
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