Math Problem Statement
On average, people spend approximately 3hr. and 43 minutes on their cell phones (µ = 223 minutes). Assuming that the distribution of time spent on phones is normal with a standard deviation of σ = 31 minutes, how much time do you have to spend on your phone to be in the top 15% of cell phone users?
Solution
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Math Problem Analysis
Mathematical Concepts
Normal Distribution
Percentiles
Z-Scores
Formulas
z = (X - µ) / σ
X = z * σ + µ
Theorems
Empirical Rule of Normal Distribution
Suitable Grade Level
Grades 9-12
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