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 10 5 5 20 Right-Handed 40 5 35 80 Total 50 10 40 100 (a) What is the probability that a person in this group has blue eyes? (b) What is the probability that a person in this group is right-handed? (c) What is the probability that a person in this group has blue eyes and is right-handed? (d) Based on the data, are having blue eyes and being right-handed independent events for this group of people? YesNo (e) What is the probability that a person in this group has brown eyes? (f) What is the probability that a person in this group is left-handed? (g) What is the probability that a person in this group has brown eyes and is left-handed? (h) Based on the data, are having brown eyes and being left-handed independent events for this group of people? YesNo
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 | 10 | 5 | 5 | 20 |
| Right-Handed | 40 | 5 | 35 | 80 |
| Total | 50 | 10 | 40 | 100 |
(b) What is the probability that a person in this group is right-handed?
(c) What is the probability that a person in this group has blue eyes and is right-handed?
(d) Based on the data, are having blue eyes and being right-handed independent
(e) What is the probability that a person in this group has brown eyes?
(f) What is the probability that a person in this group is left-handed?
(g) What is the probability that a person in this group has brown eyes and is left-handed?
(h) Based on the data, are having brown eyes and being left-handed independent events for this group of people?
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