Answered: Packets of flour packed by a particular…

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

Packets of flour packed by a particular machine have masses which are normally
distributed with mean 500 gram and standard deviation 20 gram. 2% of the packets
are rejected for being underweight and 1% of the packets are rejected for being
overweight.
Estimate the mass of a packet of flour if it is to be accepted.
(i) Determine the median mass of the packets of flour that are accepted.
(ii) Six packets of flour are selected at random, what is the probability that at
least one is accepted?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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