Suppose the traffic light at a specific intersection changes to green at 4-minute intervals. If a car arrives at the traffic light at a random time, then X = waiting time in minutes, is uniformly distributed between 0 and 4.   Suppose a random sample of 35 cars are observed and their waiting time is recorded. What is the probability that the sample mean of the waiting times is less than 1.5 minutes?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 27T
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Suppose the traffic light at a specific intersection changes to green at 4-minute
intervals. If a car arrives at the traffic light at a random time, then X = waiting time in minutes, is
uniformly distributed between 0 and 4.  

Suppose a random sample of 35 cars are observed and their waiting time is recorded.
What is the probability that the sample mean of the waiting times is less than 1.5
minutes? 

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