Math Problem Statement
The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time follows the continuous uniform distribution with an early arrival time of 9:18 am and a late arrival time of 9:41 am.
a. After converting the time data to a minute scale, calculate the mean and the standard deviation for the distribution. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)
Solution
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Math Problem Analysis
Mathematical Concepts
Uniform Distribution
Statistics
Continuous Probability Distributions
Formulas
Mean (μ) = (a + b) / 2
Standard Deviation (σ) = (b - a) / √12
Theorems
Uniform Distribution Theorem
Suitable Grade Level
College Level / Advanced High School (Grades 11-12)
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