(a) What is the expected number of attendees that arrive in the first two minutes? (b) What is the probability that 5 or more refugees arrive in the first two minutes?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Starting at time 0, amusement park attendees enter the park and arrive at a  according to a Poisson process with rate equal to 48 per hour.

(a) What is the expected number of attendees that arrive in the first two minutes?

(b) What is the probability that 5 or more refugees arrive in the first two minutes?

(c) If 10 attendees arrive in the first minute, what is the expected number of attendees that arrive in the first two minutes?

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