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

ID: 3307170 • 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?

a. The 13-and-older category may include children up to 17 or 18 years old. This is a smaller category.

b. The 13-and-older category may include children up to 17 or 18 years old. This is a larger category.   

Age (years) Percentage of Toys 2 and under
3-5
6-9
10-12
13 and over 19%
18%
25%
12%
26%

Explanation / Answer

What is the probability that a toy is purchased for someone in the following age ranges?

(a) 6 years old or older = 25 + 12 + 26 = 63%

(b) 12 years old or younger = 19 + 18 + 25 + 12 = 74%

(c) between 6 and 12 years old = 25 + 12 = 37%

(d) between 3 and 9 years old = 18 + 25 = 43%

Last question

OPtion B is correct . The 13-and-older category may include children up to 17 or 18 years old. This is a larger category. As it contains age froups from 12 to 18 that contains children of age span of 6 years as compared to age span of 3 years for children in 10 to 12 age group.