Math  /  Data & Statistics

QuestionEach year on Halloween, each child in Carrboro will visit an average of 52 houses with a standard deviation of 6 houses. The distribution of number of houses visited is approximately Normally distributed. (For \#s 1-5.)
1. What is the probability that a child will visit fewer than 47 houses this year?
2. What is the probability that they will visit more than 60 houses?
3. What percentage of children will visit between 45 and 62 houses?
4. What is the 80th 80^{\text {th }} percentile of houses visited?
5. What number of houses does a child visit to be in the lowest 15%15 \% of trick-or-treaters?
6. Asher lives in Chapel Hill where the mean number of houses is 43 . He visits 50 houses which puts him in the 85th 85^{\text {th }} percentile. What is the standard deviation?
7. Phin lives in Hillsborough. He visits 36 houses which is more than 32%32 \% of children in Hillsborough. The standard deviation is 7 houses. What is the mean?

Studdy Solution
1. 20.33%
2. 9.18%
3. 83.15%
4. 57 houses
5. 46 houses
6. 6.73 houses
7. 39.29 houses

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