(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
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**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.
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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