Answered: Let random variable Q represent the…

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. The most likely number of employees who work on a given day is 24

B. The mean number of employees who work on a given day is equal to the median number of employees who
work on a given day.

C. The mean number of employees who work on a given day is greater than the median number of employees
who work on a given day.

D. The mean number of employees who work on a given day is less than the median number of employees who
work on a given day.

E. On a given day, the number of employees who work at the restaurant occurs with equal probabilities.

Let random variable Q represent the number of employees who work at a certain restaurant on a given day.
The following table shows the probability distribution of the random variable Q
Number of Employees
Probability
20
21
22
23
0.1
0.1
0.1
0.4
24
0.3
Which of the following claims is best supported by the table?

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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