Hi can someone please help me?
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 17%
19%
24%
13%
27%
What is the probability that a toy is purchased for someone in the following age ranges?
I know the answers are not correct but can someone help me how to solve the problem.
(a) 6 years old or older
0.64
(b) 12 years old or younger
0.40
(c) between 6 and 12 years old
0.37
(d) between 3 and 9 years old
0.43
To solve this problem, you need to use the information given in the table to calculate the probability of a toy being purchased for a child in a specific age range.
Here's how you can approach each part of the problem:
(a) To find the probability that a toy is purchased for someone who is 6 years old or older, you need to add up the percentages for the age ranges 6-9, 10-12, and 13 and over.
Percentage for 6-9 years old: 24%
Percentage for 10-12 years old: 13%
Percentage for 13 and over: 27%
Add the percentages: 24% + 13% + 27% = 64%
Therefore, the probability that a toy is purchased for someone who is 6 years old or older is 0.64.
(b) To find the probability that a toy is purchased for someone who is 12 years old or younger, you need to add up the percentages for the age ranges 2 and under, 3-5, 6-9, and 10-12.
Percentage for 2 and under: 17%
Percentage for 3-5 years old: 19%
Percentage for 6-9 years old: 24%
Percentage for 10-12 years old: 13%
Add the percentages: 17% + 19% + 24% + 13% = 73%
Therefore, the probability that a toy is purchased for someone who is 12 years old or younger is 0.73.
(c) To find the probability that a toy is purchased for someone who is between 6 and 12 years old, you just need to consider the percentage for the age range 6-9 and 10-12.
Percentage for 6-9 years old: 24%
Percentage for 10-12 years old: 13%
Add the percentages: 24% + 13% = 37%
Therefore, the probability that a toy is purchased for someone who is between 6 and 12 years old is 0.37.
(d) To find the probability that a toy is purchased for someone who is between 3 and 9 years old, you need to add up the percentages for the age ranges 3-5, 6-9.
Percentage for 3-5 years old: 19%
Percentage for 6-9 years old: 24%
Add the percentages: 19% + 24% = 43%
Therefore, the probability that a toy is purchased for someone who is between 3 and 9 years old is 0.43.
Remember, to find the probability, you need to sum up the percentages for the age ranges of interest.
To find the probability of a toy being purchased for someone in a specific age range, you need to sum up the percentages of toys sold for each age group within that range. Here's how you can solve each part:
(a) 6 years old or older:
To find the probability of a toy being purchased for someone who is 6 years old or older, you need to sum up the percentages of toys sold for the age groups 6-9, 10-12, and 13 and over.
Probability = Percentage of toys for 6-9 years + Percentage of toys for 10-12 years + Percentage of toys for 13 and over
= 24% + 13% + 27%
= 64%
So, the probability that a toy is purchased for someone who is 6 years old or older is 64%.
(b) 12 years old or younger:
To find the probability of a toy being purchased for someone who is 12 years old or younger, you need to sum up the percentages of toys sold for the age groups 2 and under, 3-5, 6-9, and 10-12.
Probability = Percentage of toys for 2 and under + Percentage of toys for 3-5 years + Percentage of toys for 6-9 years + Percentage of toys for 10-12 years
= 17% + 19% + 24% + 13%
= 73%
So, the probability that a toy is purchased for someone who is 12 years old or younger is 73%.
(c) Between 6 and 12 years old:
To find the probability of a toy being purchased for someone between 6 and 12 years old, you need to sum up the percentages of toys sold for the age groups 6-9 and 10-12.
Probability = Percentage of toys for 6-9 years + Percentage of toys for 10-12 years
= 24% + 13%
= 37%
So, the probability that a toy is purchased for someone between 6 and 12 years old is 37%.
(d) Between 3 and 9 years old:
To find the probability of a toy being purchased for someone between 3 and 9 years old, you need to sum up the percentages of toys sold for the age groups 3-5, 6-9.
Probability = Percentage of toys for 3-5 years + Percentage of toys for 6-9 years
= 19% + 24%
= 43%
So, the probability that a toy is purchased for someone between 3 and 9 years old is 43%.
Arrange data better.
2 and under 17%
3-5 19%
6-9 24%
10-12 13%
13 and over 27%
a) agree
b) disagree
c) agree
d) agree