A recent study gave the information shown in the table about ages of children re
ID: 3257860 • Letter: A
Question
A recent study gave the information shown in the table about ages of children receiving toys. The percentages represent all toys sold.
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 under3-5
6-9
10-12
13 and over 19%
19%
23%
11%
28%
Explanation / Answer
a ) The probability that a toy is purchased for someone who is 6 years old or older
= 23 + 11 + 28 = 62 %
b ) The probability that a toy is purchased for someone who is 12 years old or younger
= 19 + 19 + 23 + 11 = 72 %
c ) The probability that a toy is purchased for someone who is between 6 and 12 years old
= 23 + 11 = 34 %
d ) The probability that a toy is purchased for someone who is between 3 and 9 years old
= 19 + 23 = 42 %
e ) The 13-and-older category may include children up to 17 or 18 years old or older than them . This is a larger category in comparison to the one given by 10- 12 . Hence it is more likely that 13 and older category have a higher probability of buying toys than that of 10-12 years old .