A recent study gave the information shown in the table about ages of children receiving toys. The percentages represent all toys sold. Age (years) Percentage of Toys 2 and under 3-5 6-9 10-12 13 and over 16% 18% 26% 9% 31% What is the probability that a toy is purchased for someone in the following age ranges? (a) 6 years old or older (b) 12 years old or younger (c) between 6 and 12 years old (d) between 3 and 9 years old A child between 10 and 12 years old looks at this probability distribution and asks, "Why are people more likely to buy toys for kids older than I am (13 and over) than for kids in my age group (10–12)?" How would you respond? The 13-and-older category may include children up to 17 or 18 years old. This is a smaller category.The 13-and-older category may include children up to 17 or 18 years old. This is a larger category.
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 recent study gave the information shown in the table about ages of children receiving toys. The percentages represent all toys sold.
| Age (years) | Percentage of Toys |
| 2 and under 3-5 6-9 10-12 13 and over |
16% 18% 26% 9% 31% |
What is the probability that a toy is purchased for someone in the following age ranges?
(b) 12 years old or younger
(c) between 6 and 12 years old
(d) between 3 and 9 years old
A child between 10 and 12 years old looks at this probability distribution and asks, "Why are people more likely to buy toys for kids older than I am (13 and over) than for kids in my age group (10–12)?" How would you respond?
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