What is the probability that at least 10 orders arrive in 30 seconds? What is the probability that the next order arrives in exactly 30 seconds?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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You have just started a new online greeting card company, “Cool Cards by College Students.” Orders arrive at your web server as a Poisson process at a rate of 25 per minute. 

  1. What is the probability that at least 10 orders arrive in 30 seconds?
  2. What is the probability that the next order arrives in exactly 30 seconds?
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