In: Statistics and Probability
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 |
20% 19% 30% 11% 20% |
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 larger category.The 13-and-older category may include children up to 17 or 18 years old. This is a smaller category.
Age (years) | Percentage of Toys |
2 and under 3-5 6-9 10-12 13 and over |
20% 19% 30% 11% 20% |
(a) 6 years old or older
P[ 6 years or older ] = 30% + 11% + 20% = 61%
P[ 6 years or older ] = 61%
(b) 12 years old or younger
P[ 12 or younger ] = 20% + 19% + 30% + 11% = 80%
P[ 12 or younger ] = 80%
(c) between 6 and 12 years old
P[ between 6 and 12 ] = 30% + 11% = 41%
P[ between 6 and 12 ] = 41%
(d) between 3 and 9 years old
P[ between 3 and 9 ] = 19% + 30% = 49%
P[ between 3 and 9 ] = 49%
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?
P[ 10 and 12 years ] =11%
P[ 13 or older ] = 20%
This is true statement
The 13-and-older category may include children up to 17 or 18 years old. This is a smaller category.