## Probability Distribution of Overtime HoursThe data provided below represents the number of overtime hours worked in one week per employee. Use this data to complete parts (a) and (b).### Table of Overtime Hours and Employees| Overtime Hours | Number of Employees ||----------------|---------------------|| 0 | 8 || 1 | 11 || 2 | 31 || 3 | 57 || 4 | 44 || 5 | 29 || 6 | 15 |### Tasks**(a) Construct a Probability Distribution:**Complete the probability distribution table below:| \( x \) | 0 | 1 | 2 | 3 | 4 | 5 | 6 ||---------|----|----|----|----|----|----|----|| \( P(x) \) | | | | | | | |**(b) Graph the Probability Distribution Using a Histogram:**Create a histogram that represents the probability distribution of the overtime hours. Ensure to describe its shape (e.g., symmetric, skewed left, skewed right).### Instructions1. **Calculate the Total Number of Employees:** Add up the number of employees for each overtime hour to find the total.2. **Determine \( P(x) \):** Calculate the probability for each number of overtime hours by dividing the number of employees for each hour by the total number of employees.3. **Draw the Histogram:** - The x-axis will represent the number of overtime hours. - The y-axis will represent the probability \( P(x) \). - Each bar in the histogram should correspond to an overtime hour and have a height proportional to its probability.### ConclusionOnce you have completed the table and histogram, analyze the distribution and provide a description of its shape and any notable features. The data given below show the number of overtime hours worked in one week per employee. Use the data to answer the following questions.(a) Construct the probability distribution by completing the table below.| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 ||------|-------|-------|-------|-------|-------|-------|-------|| P(x) | | | | | | | |(Round to three decimal places as needed.)(b) Choose the correct graph of the probability distribution.- Option A: A bar graph is displayed with probabilities increasing from 0.1 to 0.3 as x increases from 0 to 6.- Option B: A bar graph is displayed with a different distribution pattern; showing varied heights for each bar.- Option C: A bar graph is displayed showing decreasing probabilities from 0.4 to 0.1 as x increases from 0 to 6.- Option D: A bar graph is displayed with probabilities forming a peak around the middle values of x.**Time Remaining:** 02:27:56**Next Button**: Proceeds to the next screen or question.

Find pmf and shape of the distribution.

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

See similar textbooks

Similar questions

A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions Households 23 441 730 1405 (a) Use the frequency distribution to construct a probability distribution. P(x) 0.009 1 0.170 0.281 3. 0.541 (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below. VB. Oc. O A. AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- AP(x) 0.6- AP(x) 0.6- 0.5- 0.5- 0.4- 0.4- 0.3- 0.2- 0.1- 0.3- 0.2- 0.1- o i 2 3 # of Televisions 2 3 # of Televisions # of Televisions Describe the histogram's shape. Choose the correct answer below. skewed right O symmetric O skewed left C. Help me solve this View an example Get more help- MacBook Air
18: Answer
Pavn
The accompanying table lists the outcomes and the probability distribution for a student renting videos during the week while on campus. Video Rentals per Week during Semester Outcome (number of O weekly video rentals) Probability distribution Outcome 0 (number of weekly video rentals) Probability distribution 1 0 69.81 2 Write the cumulative probability distribution in the table below. Use two decimal places. 3 1.81 4 0.05 0.55 0.25 0.05 0.07 0.02 0.01 Hint: Write your answers in two decimal places. 5 8 The probability of renting between two and four videos a week is 126.95 60 57.14 5 25 600 and the probability of renting less than three a week is
Use the probability distribution to complete parts (a) and (b) below. Activities Probability0 0.0591 0.1212 0.1633 0.1794 0.2165 0.1276 0.0837 0.052 The number of school-related extracurricular activities per student (a) Find the mean, variance, and standard deviation of the probability distribution. (b) Interpret the results.
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 1 2 3 4 5 Employees 5 14 34 58 44 28 16 (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. 1 4 P(x) 6. 3. 2.
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 2 3 Households 26 447 722 1404 (a) Use the frequency distribution to construct a probability distribution. P(x) X 1 (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below. O A. OB. OC. nel AP(x) Click to select your answer(s). 99+ P Type here to search op 144 fs f4
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. A. 012345600.10.20.30.4Overtime HoursProbability A histogram has a horizontal axis labeled Overtime Hours from 0 to 6 in increments of 1…
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 35 53 46 26 17 (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) nothing nothing nothing nothing nothing nothing nothing (Round to three decimal places as needed.)
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 Employees 0 5 X P(x) 0 1 14 1 2 34 (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. 2 3 54 3 4 42 4 5 28 5 (Round to three decimal places as needed.) 6 17 6
%23 The following table contains the probability distribution for the number of traffic accidents daily in a small town. Complete parts (a) through (c) below. Number of Accidents P(X= x;) Daily (X) 0.28 0.31 0.17 3 0.09 0.07 0.05 4 0.03 a. Compute the mean number of accidents per day. (Type an integer or a decimal. Do not round.) More data-3_24_2022-4..xlsx 67 F e Type here to seareh
A frequency distribution is shown below. Complete parts (a) and (b). The number of televisions per household in a small town Televisions 1 2 3 Households 22 446 722 1409 (a) Use the frequency distribution to construct a probability distribution. P(x) 1 2 3 (Round to three decimal places as needed.) (b) Graph the probability distribution using a histogram. Choose the correct graph of the distribution below. O A. OB. OC. AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- AP(x) 0.6- 0.5- 0.4- 0.3- 0.2- 0.1- 0.1- 0.1- ở 1 2 3 x 1 # of Televisions 6 i 2 3 x # of Televisions # of Televisions Describe the histogram's shape. Choose the correct answer below. skewed right symmetric skewed left

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS