The bus arrives every 10 minutes. The probability that you will have to wait any number of minutes remains constant. (a) What is the probability that you will wait at least 3 minutes? (b) What is the probability that you will wait more than 12 minutes?
Added by Scott T.
Step 1
Step 1: The probability density function for the waiting time, denoted by x, is given by \(f(x) = \frac{1}{10}e^{-\frac{x}{10}}\). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Frank Deng and 89 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
You arrive at a bus stop at 10 o'clock, knowing that the bus will arrive at some time uniformly distributed between 10 and $10: 30$. (a) What is the probability that you will have to wait longer than 10 minutes? (b) If at 10:15 the bus has not yet arrived, what is the probability that you will have to wait at least an additional 10 minutes?
Continuous Random Variables
Problems
You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what time the last bus came by. The time x that you wait before the bus arrives is uniformly distributed on the interval from 0 to 30 minutes. (Round your answers to four decimal places.) (a) What is the probability that you will have to wait longer than 17 minutes? (b) What is the probability that you will have to wait less than 13 minutes? (c) What is the probability that you will wait between 10 and 23 minutes?
Nick J.
A bus arrives every 10 minutes at a bus stop. It is assumed that the waiting time for a particular individual is a random variable with a continuous uniform distribution. (a) What is the probability that the individual waits more than 7 minutes? (b) What is the probability that the individual waits between 2 and 7 minutes?
Some Continuous Probability Distributions
Applications of the Normal Distribution
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