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. Age (years) Percentage of Toys 2 and under 3-5 6-9 10-12 13 and over 20% 18% 25% 10% 27% 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 smaller category. The 13-and-older category may include children up to 17 or 18 years old. This is a larger category.

Explanation / Answer

(a) Pr (6 years old or older % ) = Pr (age 6-9) + Pr( Age 10 -12) + Pr( 13 and over) = (25 + 10 + 27)/100 = 0.62

(b) Pr (12 years old or younger % = 1- Pr ( 13 and over) = 1- 27/100 = 0.73

c) Pr(between 6 and 12 years old %) = Pr ( Age 6 to 9) + Pr( 10 to 12) = (25 + 10)/100 = 0.35

(d) Pr(between 3 and 9 years old %) = Pr ( Age 3 to5) + Pr( 6to 9 ) = (18 + 25)/100 = 0.43

Q>2 The 13-and-older category may include children up to 17 or 18 years old. This is a larger category.

as the category have infinite bound which can include children of 17, 18 year old unlikely small bound of age only 3 years in 10 to 12 year age bound so it is larger category and tend to buy more toys than smaller groups.

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