Cars arrive at a tollbooth at a mean rate of 5 cars every 10 minutes according to a Poisson process. Find the probability that the toll collector will have to wait longer than 2.63 minutes before collecting the eighth toll.
Added by Jose Manuel S.
Step 1
Given that the mean arrival rate is 5 cars every 10 minutes, lambda = 5/10 = 0.5. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Narayan Hari and 72 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
Cars arrive at a tollbooth at a mean rate of 5 cars every 10 minutes according to a Poisson process. Find the probability that the toll collector will have to wait longer than half an hour before collecting the second toll.
Keerti J.
Suppose that the number of cars crossing a bridge per day follows a Poisson distribution with an average of 10 cars per minute. Find the probability that exactly 5 cars cross the bridge in a given minute.
Jainendra O.
The number of customers arriving per hour at a certain automobile service facility is assumed to follow a Poisson distribution with mean $\lambda=7$. (a) Compute the probability that more than 10 customers will arrive in a 2 -hour period. (b) What is the mean number of arrivals during a 2-hour period?
Some Discrete Probability Distributions
Poisson Distribution and the Poisson Process
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD