empirical probability two way table Consider the following two-way table representing the weather at a certain location on 300 days No Rain Little Rain (<1 in) Rain (>1 in) Sunny 175 15 0 190 Cloudy 43 32 35 110 218 47 35 300
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.
empirical
two way table
Consider the following two-way table representing the weather at a certain location on 300 days
| No Rain | Little Rain (<1 in) | Rain (>1 in) | ||
| Sunny | 175 | 15 | 0 | 190 |
| Cloudy | 43 | 32 | 35 | 110 |
| 218 | 47 | 35 | 300 |
Find each of the probabilities
a) Probability of a sunny day, Pr (Sunny)
b) Probability of no rain OR litte rain Pr( No rain OR Little rain)
c) Probability of a sunny day OR day with No rain , Pr (Sunny OR No Rain)
d) Probability of Not having a day without rain Pr( NOT No rain)
Step by step
Solved in 2 steps
