According to a 2013 report on CBS 6 News, response times in Henrico County for f
ID: 3050754 • Letter: A
Question
According to a 2013 report on CBS 6 News, response times in Henrico County for fire and EMS was 7 minutes 20 seconds. If these times were normally distributed with a standard deviation of 1 minute 30 seconds, what is the probability the response time will be more than 10 minutes. Would this be unusual?
1. Using the information from the above problem, what is the probability of the average response time for 22 random calls will be more than 10 minutes? A particular neighborhood is concerned that they have an unusually long response time for EMS causing a safety issue. This neighborhood examines 22 random response times to their neighborhood and finds the average response time for these calls was 10 minutes. Is there a problem with response times to this neighborhood? Explain.
Explanation / Answer
here as we know that 7 minute 20 seconds =7.333 minutes
probability the response time will be more than 10 minutes =
1)
probability of the average response time for 22 random calls will be more than 10 minutes
as this probability is approximately nil; tehrefore there is a very high chance that there is a problem with response times to this neighborhood
for normal distribution z score =(X-)/ here mean= = 7.333 std deviation == 1Related Questions
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