Buses arrive at a specified stop at 15-minute intervals starting at 8:00 am. If a passenger arrives at a stop at a time that is uniformly distributed between 8:00 am and 8:30 am, then what is the probability that he waits a) less than 7 minutes for a bus, b) at least 12 minutes for a bus?
Added by Patricia R.
Step 1
The problem states that buses arrive at a stop every 15 minutes starting at 8:00 am. A passenger arrives at a random time between 8:00 am and 8:30 am. We need to find the probability that the passenger waits less than 7 minutes for a bus and the probability that Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adarsh Tripathi and 98 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Buses arrive at a specified stop at 20-minute intervals starting at 7 A.M. That is, they arrive at 7, 7:20, 7:40, 8:00, and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7:40, find the probability that he waits. a. less than 10 minutes for a bus; b. more than 15 minutes for a bus.
Adi S.
Buses arrive at a speci ed stop at 15-minute intervals starting at 7 a.m. That is, they arrive at 7, 7 : 15, 7 : 30, 7 : 45, and so on. If a passenger arrives at the stop at a time that is uniformly distributed between 7 and 7 : 30, find the probability that he waits 1. less than 5 minutes for a bus; 2. more than 10 minutes for a bus.
Ahmet Y.
Waiting Time Buses arrive and depart from a college every 30 minutes. The probability density function for the waiting time $t$ (in minutes) for a person arriving at the bus stop is $$f(t)=\frac{1}{30}, \quad[0,30]$$ Find the probabilities that the person will wait (a) no more than 5 minutes and (b) at least 18 minutes.
Probability and Calculus
Continuous Random Variables
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD