A recent study gave the information shown in the table about ages of children re

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.   

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 .

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