Answered: A certain company makes many, many…

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 certain company makes many, many different puzzles, all of the same difficultly level. The times it takes Jack to assemble such puzzles are normally distributed with mean 475 minutes and standard deviation 30 minutes. Sam's times are normally distributed with mean 500 minutes and standard deviation 20 minutes. Find the following probabilities.
Answers to four places after the decimal, using normal charts.

Each are given a copy of the same puzzle. Find the probability that Jack will finish before Sam:

Find the probability that Jack's average time on 4 puzzles is less than Sam's average time on 4 puzzles:

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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