a) Explain why the Poisson Probability distribution would be a good choice for the random variable r. What is 2? b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting
a) Explain why the Poisson Probability distribution would be a good choice for the random variable r. What is 2? b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security? c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.9: Independent And Dependent Events
Problem 2E
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
Transcribed Image Text:**Law Enforcement: Shoplifting**
The *Denver Post* reported that, on average, a large shopping center has had an incident of shoplifting caught by security once every 3 hours. The shopping center is open from 10 A.M. to 9 P.M. (11 hours). Let \( r \) be the number of shoplifting incidents caught by security in the 11-hour period during which the center is open.
(a) Explain why the Poisson Probability distribution would be a good choice for the random variable \( r \). What is \( \lambda \)?
(b) What is the probability that from 10 A.M. to 9 P.M. there will be at least one shoplifting incident caught by security?
(c) What is the probability that from 10 A.M. to 9 P.M. there will be at least three shoplifting incidents caught by security?
(d) What is the probability that from 10 A.M. to 9 P.M. there will be at least no shoplifting incidents caught by security?
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