Answered: 1.A professor knows from past…

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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1.A professor knows from past experience that the time for students to complete a quiz is normally distributed with mean 25 minutes and standard deviation 2 minutes.

(a) If the teacher allows 26 minutes for the quiz, what percent of the students will not complete the quiz? (Round your answer to two decimal places.)
%

(b) Suppose that the teacher wants to allow sufficient time so that 95% of the students will complete the quiz in the allotted time. How much time should be allowed for the quiz? (Round your answer to two decimal places.)
minutes

2.Consumer Reports rated airlines and found that 84% of the flights involved in the study arrived on time (that is, within 15 minutes of scheduled arrival time). Assuming that the on-time arrival rate is representative of the entire commercial airline industry, consider a random sample of 188 flights. What is the expected number that will arrive on time? What is the standard deviation of this distribution? (Use 2 decimal places.)

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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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