Mathematics
Mathematics, 23.09.2021 20:10, leannaadrian

A fire department in a rural county reports that its response time to fires is approximately Normally distributed with a mean of 22 minutes and a standard deviation of 3.9 minutes. a) Make an accurate sketch of the distribution of response time.

b) Use the empirical rule to find the proportion of response times between 14.2 and 29.8 minutes.

c) Calculate and interpret the 80th percentile of the distribution of response times.
d)The national mean response time is 18.5 minutes. What proportion of all response times for this fire department are below the national mean response time?

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