A recent study gave the information shown in the table about ages of children re
ID: 3125510 • 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? (choose A or B)
A)The 13-and-older category may include children up to 17 or 18 years old. This is a larger category.
B)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 15%
16%
24%
13%
32%
Explanation / Answer
a)
P(6 or older) = 0.24 + 0.13 + 0.32 = 0.69 [ANSWER]
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b)
P(12 or younger) = 0.13 + 0.24 + 0.16 + 0.15 = 0.68 [ANSWER]
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c)
P(between 6 to 12) = 0.24 + 0.13 = 0.37 [ANSWER]
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d)
P(between 3 to 9) = 0.16 + 0.24 = 0.40 [ANSWER]
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e)
OPTION A)The 13-and-older category may include children up to 17 or 18 years old. This is a larger category. [ANSWER]
So that's a wider range of age, 13-18.