(iii) Calculate the probability that more than 10 seconds pass without anybody clicking on the advertisements? (iv) Calculate the expected value and the variance of the waiting time (in minutes) between two consecutive clicks on the advertisements?

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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A company advertise their products on Instagram. The number of times their advertise- ments are clicked on follows a Poisson distribution with a rate of 18 clicks per minute.

(iii) Calculate the probability that more than 10 seconds pass without anybody
clicking on the advertisements?
(iv) Calculate the expected value and the variance of the waiting time (in minutes)
between two consecutive clicks on the advertisements?
Transcribed Image Text:(iii) Calculate the probability that more than 10 seconds pass without anybody clicking on the advertisements? (iv) Calculate the expected value and the variance of the waiting time (in minutes) between two consecutive clicks on the advertisements?
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