(a) What is the probability that all four calls are, in fact, emergencies? (b) What is the probability that three of more calls are not emergencies? (c) How many calls n would the 911 operators need to answer to be 96% (or more) sure that at least one call is, in fact, an emergency?
(a) What is the probability that all four calls are, in fact, emergencies? (b) What is the probability that three of more calls are not emergencies? (c) How many calls n would the 911 operators need to answer to be 96% (or more) sure that at least one call is, in fact, an emergency?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Public Safety: 911 Calls**
A recent audit reported by The Denver Post found that 85% of 911 calls were not emergencies. Given this information, consider a scenario where 911 operators have just received four calls.
(a) **Probability of All Calls Being Emergencies:**
- Calculate the likelihood that each of the four calls is an emergency, acknowledging the low probability of any given call being an emergency.
(b) **Probability of Three or More Calls Not Being Emergencies:**
- Evaluate the probability that at least three out of the four calls are non-emergencies, highlighting the common nature of non-emergency calls based on the audit findings.
(c) **Number of Calls to Ensure at Least One Emergency Call:**
- Determine how many calls (n) the operators need to answer to achieve a 96% (or higher) probability that at least one of them is an emergency, considering the predominance of non-emergency calls.
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