Suppose that the number of inquiries arriving at a certain interactive system follows a Poisson distribution with arrival rate of 12 inquiries per minute. Find the probability of 5 inquiries arriving in a 30-second interval. 0.285 0.490 0.451 0.146 0.128
Added by Danielle M.
Close
Step 1
Given that the arrival rate is 12 inquiries per minute, we need to find the arrival rate for a 30-second interval. 30 seconds is half a minute, so the new arrival rate would be 30/60 * 12 = 6 inquiries per 30 seconds. Show more…
Show all steps
Your feedback will help us improve your experience
Christopher Dzorkpata and 78 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
Customers arrive at a service facility according to a Poisson process of rate ́λ = 5 per hour. Let Nt be the number of customers that have arrived up to time t (hours). Determine the following probabilities. a. P(N1 = 5). b. P(N1 = 5 and N3 = 12). c. P(N3 = 12 | N1 = 5). d. P(N1 = 5 | N3 = 12).
Madhur L.
(10 points) A reservation service employs five information operators who receive re- quests for information independently of one another, each according to a Poisson pro- cess with rate λ = 3 per minute. What is the probability that during a given 1-minute period, exactly two of the five operators receive no requests?
Md.Daniyal A.
Refer to Exercise $3.122 .$ Assume that arrivals occur according to a Poisson process with an average of seven per hour. What is the probability that exactly two customers arrive in the twohour period of time between a. 2: 00 P.M. and 4: 00 P.M. (one continuous two-hour period)? b. 1: 00 P.M. and 2: 00 p.M. or between 3: 00 p.M. and 4: 00 P.M. (two separate one-hour periods that total two hours)?
Discrete Random Variables and Their Probability Distributions
The Poisson Probability 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