Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.6 minutes and a standard deviation of 1.5 minutes. For a randomly received emergency call, find the following probabilities.A) the response time is between 2.75 and 4.05 minutes. Keep your answer in 4 decimal places.B) the response time is 7.25 to 11.65 minutes. Keep your answer in 4 decimal places.C) the response time is anywhere from 7.85 to less than 15.35 minutes. Keep your answer in 4 decimal places.D) the response time is anywhere greater than 9.25 to 11.65 minutes. Keep your answer in 4 decimal places.**Notes: DO NOT round any z-score. Police response time to an emergency call is the difference between the time the call is first received by thedispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it hasbeen determined that the police response time has a normal distribution with a mean of 8.6 minutes and astandard deviation of 1.5 minutes. For a randomly received emergency call, find the following probabilities.A) the response time is between 2.75 and 4.05 minutes.Keep your answer in 4 decimal places.B) the response time is 7.25 to 11.65 minutes.Keep your answer in 4 decimal places.C) the response time is anywhere from 7.85 to less than 15.35 minutes.Keep your answer in 4 decimal places.D) the response time is anywhere greater than 9.25 to 11.65 minutes.Keep your answer in 4 decimal places.**Notes: DO NOT round any z-score.

Mean(µ) = 8.6Standard deviations (σ) = 1.5X ~ N (µ, σ )= N(8.6, 1.5)

Answered: Police response time to 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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Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.6 minutes and a standard deviation of 1.5 minutes. For a randomly received emergency call, find the following probabilities.

A) the response time is between 2.75 and 4.05 minutes.
Keep your answer in 4 decimal places.

B) the response time is 7.25 to 11.65 minutes.
Keep your answer in 4 decimal places.

C) the response time is anywhere from 7.85 to less than 15.35 minutes.
Keep your answer in 4 decimal places.

D) the response time is anywhere greater than 9.25 to 11.65 minutes.
Keep your answer in 4 decimal places.

**Notes: DO NOT round any z-score.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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