Answered: A lawyer commutes daily from his suburb…

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 lawyer commutes daily from his suburb home to his midtown office. The average time for a one-way trip is 25 minutes, with a standard deviation of 4 minutes. Assume the distribution of trip times to be normally distributed.

(a) The probability that a trip will take at least 1/2 hour is?

(b) If the office opens at 9:00 A.M. and he leaves his house at 8:45 A.M. daily, the probability that he will be late for work is?

Round off your answer to five decimal places08:38 AM

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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