Answered: The data given below show the number of…

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

The data given below show the number of overtime hours worked in one week per employee. Use the data to complete parts (a) and (b).

Overtime hours	0	1	2	3	4	5	6
Employees	4	14	25	54	44	28	18

(a) Construct a probability distribution.

(b) Graph the probability distribution using a histogram and describe its shape.

(a) Construct the probability distribution by completing the table below.

x	0	1	2	3	4	5	6
P(x)	enter your response here	enter your response here	enter your response here	enter your response here	enter your response here	enter your response here	enter your response here
	(Round to three decimal places as needed.)

(b) Choose the correct graph of the probability distribution.

012345600.10.20.30.4Overtime HoursProbability

A histogram has a horizontal axis labeled Overtime Hours from 0 to 6 in increments of 1 and a vertical axis labeled Probability from 0 to 0.4 in increments of 0.1. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the Overtime Hours are listed first and the probability is listed second: 0, 0.096; 1, 0.150; 2, 0.235; 3, 0.289; 4, 0.134; 5, 0.075; 6, 0.021.

012345600.10.20.30.4Overtime HoursProbability

A histogram has a horizontal axis labeled Overtime Hours from 0 to 6 in increments of 1 and a vertical axis labeled Probability from 0 to 0.4 in increments of 0.1. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the Overtime Hours are listed first and the probability is listed second: 0, 0.021; 1, 0.075; 2, 0.096; 3, 0.134; 4, 0.15; 5, 0.235; 6, 0.289.

012345600.10.20.30.4Overtime HoursProbability

A histogram has a horizontal axis labeled Overtime Hours from 0 to 6 in increments of 1 and a vertical axis labeled Probability from 0 to 0.4 in increments of 0.1. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the Overtime Hours are listed first and the probability is listed second: 0, 0.021; 1, 0.075; 2, 0.134; 3, 0.289; 4, 0.235; 5, 0.150; 6, 0.096.

012345600.10.20.30.4Overtime HoursProbability

A histogram has a horizontal axis labeled Overtime Hours from 0 to 6 in increments of 1 and a vertical axis labeled Probability from 0 to 0.4 in increments of 0.1. The histogram contains vertical bars of width 1, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the Overtime Hours are listed first and the probability is listed second: 0, 0.289; 1, 0.235; 2, 0.134; 3, 0.150; 4, 0.096; 5, 0.075; 6, 0.021.

Describe the distribution's shape. Choose the correct answer below.

approximately symmetric (but not uniform)

skewed right

uniform

skewed left

Expert Solution