A company collected data on 100 people with regards to their eye color and whether they were left-handed or right-handed. The data is given in the table below. Eye Color Brown Blue Green Total Left-Handed 6 10 14 30 Right-Handed 14 5 51 70 Total 20 15 65 100 Calculate the following probabilities. Round your answers to 3 decimal places if necessary. (a) What is the probability that a person in this group who has blue eyes is left-handed? (b) What is the probability that a person in this group is right-handed if they have green eyes? (c) What is the probability that a right-handed person in this group has brown eyes?
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 company collected data on 100 people with regards to their eye color and whether they were left-handed or right-handed. The data is given in the table below.
| Eye Color | ||||
|---|---|---|---|---|
| Brown | Blue | Green | Total | |
| Left-Handed | 6 | 10 | 14 | 30 |
| Right-Handed | 14 | 5 | 51 | 70 |
| Total | 20 | 15 | 65 | 100 |
Calculate the following probabilities. Round your answers to 3 decimal places if necessary.
(b) What is the probability that a person in this group is right-handed if they have green eyes?
(c) What is the probability that a right-handed person in this group has brown eyes?
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