Answered: a) Attendance at large exhibition shows…

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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Question

a) Attendance at large exhibition shows in Denver averages about 8000 people per day, with standard deviation of about 475. Assume that the daily attendance figures follow a normal distribution. (Round your answers to four decimal places.)

What is the probability that the daily attendance will be fewer than 7200 people?

What is the probability that the daily attendance will be more than 8900 people?

What is the probability that the daily attendance will be between 7200 and 8900 people?

b) Most exhibition shows open in the morning and close in the late evening. A study of Saturday arrival times showed that the average arrival time was 3 hours and 48 minutes after the doors opened, and the standard deviation was estimated at about 56 minutes. Assume that the arrival times follow a normal distribution.

At what time after the doors open will 92% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)
____minutes after doors open

At what time after the doors open will only 10% of the people who are coming to the Saturday show have arrived? (Round your answer to the nearest number of minutes.)
___ minutes after doors open

Do you think the probability distribution of arrival times for Friday might be different from the distribution of arrival times for Saturday? Explain your answer.

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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