Question
The distribution of pairs of shoes for some teenagers' closets is as follows. Pairs of Shoes: 1, 2, 3, 4, 5, Frequency: 18, 30, 57, 30, 15. Find the probability a teenager has exactly 5 pairs of shoes in their closet. P(5)=[?].
Ask by Dawson Reese.
Jul 29,2023 21:01
UpStudy AI Solution
Tutor-Verified Answer
Answer
The probability of a teenager having exactly 5 pairs of shoes is 0.1.
Solution
The frequency table tells us that there are 15 teenagers with 5 pairs of shoes out of a total of 150 teenagers (the sum of all the frequencies). Therefore, the probability that a teenager has exactly 5 pairs of shoes in their closet is: P(5) = 15/150 = 0.1
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Explain 
Simplify this solution Bonus Knowledge
Imagine you have a bag with 150 candies, each candy representing a teenager’s closet:
18 candies are labeled “1 pair”,
30 labeled “2 pairs”,
57 labeled “3 pairs”,
30 labeled “4 pairs”,
and 15 labeled “5 pairs”.
If you pick one candy at random, the chance it’s labeled “5 pairs” is 0.1, meaning there’s a 10% chance. Hope this makes the problem clearer!
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