Math Problem Statement

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 99 minutes. Find the probability that a randomly selected passenger has a waiting time less thanless than 1.751.75 minutes. Question content area bottom Part 1 Find the probability that a randomly selected passenger has a waiting time less thanless than 1.751.75 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

Probability density function for uniform distribution: f(x) = 1 / (b - a)
Probability for uniform distribution: P(X < x) = (x - a) / (b - a)

Theorems

Uniform Distribution Theorem

Suitable Grade Level

Grades 10-12