Math Problem Statement

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.

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Part 1

Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.    enter your response here ​(Simplify your answer. Round to three decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Uniform Distribution

Formulas

P(X > c) = (b - c) / (b - a)
f(x) = 1 / (b - a) for uniform distribution

Theorems

Uniform Probability Theorem

Suitable Grade Level

Grades 10-12