
Mathematical Ideas (13th Edition) - Standalone book
13th Edition
ISBN: 9780321977076
Author: Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 12.3, Problem 15E
To determine
To calculate:
The least possible fraction of numbers between 40 and 60 if the mean is 50 and the standard deviation is 5.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
2. Find the cardinality of each set.
{x = Z: |x| ≤ 5}
{-2, 1, 4, 7, 10,..., 52}
{{7,9}, 2, {1, 2, 3, 4, 7}, {9}, {0}}
A system of inequalities is shown.
y
5
3
2
1
X
-5
-4
-3
-2
-1
0
1
2
3
4
5
-1-
Which system is represented in the graph?
Oy>-x²-x+1
y 2x²+3
-2
-3
т
Which set of systems of equations represents the solution to the graph?
-5
-4
-3
-2
Of(x) = x² + 2x + 1
g(x) = x²+1
f(x) = x²+2x+1
g(x) = x²-1
f(x) = −x² + 2x + 1
g(x) = x²+1
f(x) = x² + 2x + 1
g(x) = x²-1
-1
5 y
4
3
2
1
0
-1-
-2
-3-
-4.
-5
1
2
3
4
5
Chapter 12 Solutions
Mathematical Ideas (13th Edition) - Standalone book
Ch. 12.1 - In Exercises I and 2, use the given data to do the...Ch. 12.1 - In Exercises 1 and 2, use the given data to do the...Ch. 12.1 - In Exercises 3-6, use the given data to do the...Ch. 12.1 - In Exercises 3-6, use the given data to do the...Ch. 12.1 - In Exercises 3-6, use the given data to do the...Ch. 12.1 - In Exercises 3-6, use the given data to do the...Ch. 12.1 - In each of Exercises 7-10, construct a...Ch. 12.1 - In each of Exercises 7-10, construct a...Ch. 12.1 - In each of Exercises 7-10, construct a...Ch. 12.1 - In each of Exercises 7-10, construct a...
Ch. 12.1 - Federal Revenue and Spending The graph shows U.S....Ch. 12.1 - Federal Revenue and Spending The graph shows U.S....Ch. 12.1 - Federal Revenue and Spending The graph shows U.S....Ch. 12.1 - Federal Revenue and Spending The graph shows U.S....Ch. 12.1 - Prob. 15ECh. 12.1 - Refer to the above graphs for Exercises 16-20....Ch. 12.1 - Prob. 17ECh. 12.1 - Refer to the above graphs for Exercises 16-20....Ch. 12.1 - Prob. 19ECh. 12.1 - Refer to the above graphs for Exercises 16-20....Ch. 12.1 - Reading a Circle Graph of Job-Training Sources The...Ch. 12.1 - Reading a Circle Graph of Job-Training Sources The...Ch. 12.1 - Prob. 23ECh. 12.1 - Correspondence between Education and Earnings Data...Ch. 12.1 - Prob. 25ECh. 12.1 - Net Worth of Retirement Savings Saura, wishing to...Ch. 12.1 - Prob. 27ECh. 12.1 - Net Worth of Retirement Savings Saura, wishing to...Ch. 12.1 - Prob. 29ECh. 12.1 - Sample Masses in a Geology Laboratory...Ch. 12.1 - Sample Masses in a Geology Laboratory...Ch. 12.1 - Record Temperatures According to the National...Ch. 12.1 - Prob. 33ECh. 12.1 - Frequencies and Probabilities of letter Occurrence...Ch. 12.1 - Prob. 35ECh. 12.1 - Prob. 36ECh. 12.1 - 37. Is the probability distribution in Exercise 36...Ch. 12.1 - Prob. 38ECh. 12.1 - Probabilities of Study Times Recall that the...Ch. 12.1 - Favorite Sports among Recreation Students The 40...Ch. 12.1 - Favorite Sports among Recreation Students The 40...Ch. 12.1 - Favorite Sports among Recreation Students The 40...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a), the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - For each list of data, calculate (a) the mean (to...Ch. 12.2 - Answer each question. Gymnasts' Scores An Olympic...Ch. 12.2 - Quiz Grades The average of 5 quiz grades is 10....Ch. 12.2 - For each category in Exercises 11-16, find (a) (he...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - For each category in Exercises 11-16, find (a) the...Ch. 12.2 - Leading U.S. Businesses The table shows the top...Ch. 12.2 - Leading U.S. Businesses The table shows the top...Ch. 12.2 - Measuring Elapsed Times While doing an experiment,...Ch. 12.2 - Measuring Elapsed Times White doing an experiment,...Ch. 12.2 - The student from Exercises 19 and 20,when...Ch. 12.2 - The student from Exercises 19 and 20,when...Ch. 12.2 - The student from Exercises 19 and 20,when...Ch. 12.2 - The student from Exercises 19 and 20, when...Ch. 12.2 - Scores on Management Examinations Thao earned the...Ch. 12.2 - Scores on Management Examinations Thao earned the...Ch. 12.2 - Scores on Management Examinations Thao earned the...Ch. 12.2 - For each of the following frequency distributions,...Ch. 12.2 - Prob. 29ECh. 12.2 - 30. Average Employee Salary A company has
15...Ch. 12.2 - Grade-Point Averages Find the grade-point average...Ch. 12.2 - Grade-Point Averages Find the grade-point average...Ch. 12.2 - Prob. 33ECh. 12.2 - Federal Budget Totals The table gives federal...Ch. 12.2 - Prob. 35ECh. 12.2 - World Cell Phone Use In 2012, just the top six...Ch. 12.2 - Prob. 37ECh. 12.2 - Crew, Passengers, and Hijackers on 3/11 Airliners...Ch. 12.2 - Prob. 39ECh. 12.2 - Olympic Medal Standings The top ten medal-winning...Ch. 12.2 - Prob. 41ECh. 12.2 - Olympic Medal Standings The top ten medal-winning...Ch. 12.2 - Prob. 43ECh. 12.2 - In Exercises 44 and 45, use the given...Ch. 12.2 - Prob. 45ECh. 12.2 - What does your box plot of Exercise 18 for...Ch. 12.2 - Prob. 47ECh. 12.2 - Prob. 48ECh. 12.2 - Prob. 49ECh. 12.2 - Prob. 50ECh. 12.2 - Prob. 51ECh. 12.2 - Prob. 52ECh. 12.2 - Prob. 53ECh. 12.2 - Prob. 54ECh. 12.2 - Prob. 55ECh. 12.2 - Prob. 56ECh. 12.2 - Prob. 57ECh. 12.2 - Prob. 58ECh. 12.2 - For Exercises 57-59, refer to the grouped...Ch. 12.2 - Prob. 60ECh. 12.3 - 1. If your calculator finds both the sample...Ch. 12.3 - 2. If your calculator finds only one kind of...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Find (a) the range, and (b) the standard deviation...Ch. 12.3 - Use Chebyshev’s theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Prob. 15ECh. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Prob. 17ECh. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Prob. 21ECh. 12.3 - Use Chebyshev's theorem for Exercises 11-22. Give...Ch. 12.3 - Prob. 23ECh. 12.3 - Travel Accommodation CostsGabriel and Lucia took a...Ch. 12.3 - Travel Accommodation Costs Gabriel and Lucia took...Ch. 12.3 - Travel Accommodation Costs Gabriel and Lucia took...Ch. 12.3 - Travel Accommodation Costs Gabriel and Lucia took...Ch. 12.3 - Travel Accommodation Costs Gabriel and Lucia took...Ch. 12.3 - In Exercises 29 and 30, two samples are given. In...Ch. 12.3 - In Exercises 29 and 30, two samples are given. In...Ch. 12.3 - Utilize the following sample for Exercises...Ch. 12.3 - Utilize the following sample for Exercises 31-36....Ch. 12.3 - Prob. 33ECh. 12.3 - Utilize the following sample for Exercises...Ch. 12.3 - Prob. 35ECh. 12.3 - Utilize the following sample for Exercises...Ch. 12.3 - 37. Comparing Water Heater Lifetimes Two brands of...Ch. 12.3 - Lifetimes of Engine Control Modules Chin manages...Ch. 12.3 - Lifetimes of Engine Control Modules Chin manages...Ch. 12.3 - Prob. 40ECh. 12.3 - 41. In Section 12.2 we showed that the mean, as a...Ch. 12.3 - Prob. 42ECh. 12.3 - A Cereal-Marketing Survey A food distribution...Ch. 12.3 - A Cereal-Marketing Survey A food distribution...Ch. 12.3 - A Cereal-Marketing Survey A food distribution...Ch. 12.3 - Prob. 46ECh. 12.3 - Prob. 47ECh. 12.3 - Prob. 48ECh. 12.3 - Prob. 49ECh. 12.3 - Prob. 50ECh. 12.3 - Prob. 51ECh. 12.3 - Prob. 52ECh. 12.4 - Numbers of Restaurant Customers Refer to the...Ch. 12.4 - Numbers of Restaurant Customers Refer to the...Ch. 12.4 - Numbers of Restaurant Customers Refer to the...Ch. 12.4 - Numbers of Restaurant Customers Refer to the...Ch. 12.4 - In Exercises 5-8, make use of z-scores.
5....Ch. 12.4 - In Exercises 5-8, make use of z-scores.
6....Ch. 12.4 - In Exercises 5-8, make use of z-scores.
7....Ch. 12.4 - In Exercises 5-8, make use of z-scores. Relative...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and ConsumersThe...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - World's Largest Energy Producers and Consumers The...Ch. 12.4 - Determine which was relatively higher: Canada in...Ch. 12.4 - Construct box plots for both production and...Ch. 12.4 - Prob. 19ECh. 12.4 - 20. Comparing your two box plots of Exercise 18,...Ch. 12.4 - The text stated that for any distribution of data,...Ch. 12.4 - 22. Describe the basic difference between a...Ch. 12.4 - Prob. 23ECh. 12.4 - This chapter has introduced three major...Ch. 12.4 - Prob. 25ECh. 12.4 - Prob. 26ECh. 12.4 - Prob. 27ECh. 12.4 - Prob. 28ECh. 12.4 - Prob. 29ECh. 12.4 - Prob. 30ECh. 12.4 - Prob. 31ECh. 12.4 - Prob. 32ECh. 12.4 - In Exercises 32-35, answer yes or no and explain...Ch. 12.4 - In Exercises 32-35, answer yes or no and explain...Ch. 12.4 - In Exercises 32-35, answer yes or no and explain...Ch. 12.4 - Prob. 36ECh. 12.4 - Prob. 37ECh. 12.4 - Prob. 38ECh. 12.4 - Prob. 39ECh. 12.4 - Prob. 40ECh. 12.4 - Prob. 41ECh. 12.4 - Prob. 42ECh. 12.4 - Prob. 43ECh. 12.4 - Prob. 44ECh. 12.4 - Prob. 45ECh. 12.4 - Prob. 46ECh. 12.4 - Prob. 47ECh. 12.4 - Prob. 48ECh. 12.4 - Prob. 49ECh. 12.4 - Prob. 50ECh. 12.4 - Prob. 51ECh. 12.4 - Prob. 52ECh. 12.4 - Prob. 53ECh. 12.4 - Prob. 54ECh. 12.5 - Identify each variable quantity as discrete or...Ch. 12.5 - Identify each variable quantity as discrete or...Ch. 12.5 - Identify each variable quantity as discrete or...Ch. 12.5 - Prob. 4ECh. 12.5 - Identify each variable quantity as discrete or...Ch. 12.5 - Prob. 6ECh. 12.5 - Measuring the Mass of Ore Samples Suppose 100...Ch. 12.5 - Measuring the Mass of Ore Samples Suppose 100...Ch. 12.5 - Measuring the Mass of Ore Samples Suppose 100...Ch. 12.5 - Measuring the Mass of Ore Samples Suppose 100...Ch. 12.5 - Distribution of IQ Scores On standard IQ tests,...Ch. 12.5 - Distribution of IQ Scores On standard IQ tests,...Ch. 12.5 - Distribution of IQ Scores On standard IQ tests,...Ch. 12.5 - Distribution of IQ Scores On standard IQ tests,...Ch. 12.5 - Find the percentage of area under a normal curve...Ch. 12.5 - Find the percentage of area under a normal curve...Ch. 12.5 - Find the percentage of area under a normal curve...Ch. 12.5 - Find the percentage of area under a normal curve...Ch. 12.5 - Find the percentage of the total area under a...Ch. 12.5 - Find the percentage of the total area under a...Ch. 12.5 - Find the percentage of the total area under a...Ch. 12.5 - Find the percentage of the total area under a...Ch. 12.5 - Find a value of z such that each condition is met....Ch. 12.5 - Find a value of z such that each condition is met....Ch. 12.5 - Find a value of z such that each condition
25....Ch. 12.5 - Find a value of z such that each condition is...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Weights of Peaches A fruit-packing company...Ch. 12.5 - Prob. 32ECh. 12.5 - Prob. 33ECh. 12.5 - Prob. 34ECh. 12.5 - IQs of Employees A large company employs workers...Ch. 12.5 - Prob. 36ECh. 12.5 - Net Weight of Cereal Boxes A certain dry cereal is...Ch. 12.5 - Prob. 38ECh. 12.5 - Prob. 39ECh. 12.5 - Net Weight of Cereal Boxes A certain dry cereal is...Ch. 12.5 - Prob. 41ECh. 12.5 - Prob. 42ECh. 12.5 - Prob. 43ECh. 12.5 - Prob. 44ECh. 12.5 - Assume the following distributions are all normal,...Ch. 12.5 - Prob. 46ECh. 12.5 - Prob. 47ECh. 12.5 - Prob. 48ECh. 12.5 - Prob. 49ECh. 12.5 - Prob. 50ECh. 12.5 - Prob. 51ECh. 12.5 - Prob. 52ECh. 12.5 - Prob. 53ECh. 12.5 - Prob. 54ECh. 12.5 - Prob. 55ECh. 12.5 - Prob. 56ECh. 12.5 - Prob. 57ECh. 12.5 - Prob. 58ECh. 12.5 - Prob. 59ECh. 12.5 - Prob. 60ECh. 12.5 - What percentage of the items lie within 1.25...Ch. 12.5 - Prob. 62ECh. 12 - Visits to Social Networking Sites The table shows...Ch. 12 - Cheaters Never Learn The table here shows the...Ch. 12 - Use this information for Exercises 3 and 4. For...Ch. 12 - Prob. 4TCh. 12 - College Endowment AssetsThe table shows the top...Ch. 12 - College Endowment Assets The table shows the top...Ch. 12 - College Endowment Assets The table shows the top...Ch. 12 - Prob. 8TCh. 12 - Pediatrics Patients Khalida worked the 22 weekdays...Ch. 12 - Prob. 10TCh. 12 - In Exercises 11-14, find the indicated measures...Ch. 12 - In Exercises 11-14, find the indicated measures...Ch. 12 - In Exercises 11-14, find the indicated measures...Ch. 12 - Prob. 14TCh. 12 - Exam Scores in a Criminal Justice Class The...Ch. 12 - Prob. 16TCh. 12 - Use the stem-and-leaf display below for Exercises...Ch. 12 - Prob. 18TCh. 12 - Use the stem-and-leaf display below for Exercises...Ch. 12 - Use the stem-and-leaf display below for...Ch. 12 - Use the stem-and-leaf display below for...Ch. 12 - Prob. 22TCh. 12 - Triple Jump ChampionsAll Summer Olympic...Ch. 12 - Prob. 24TCh. 12 - Season Statistics in Major League Baseball The...Ch. 12 - Season Statistics in Major League Baseball The...Ch. 12 - Season Statistics in Major League Baseball The...Ch. 12 - Prob. 28TCh. 12 - Remission Data for Cocaine and Marijuana Addiction...Ch. 12 - Remission Data for Cocaine and Marijuana Addiction...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- Which of the graphs below correctly solves for x in the equation -x² - 3x-1=-x-4? о 10 8 (0,2) -10 -8 -6 -2 2 4 6 8 10 (-4,-2) -2 + (0,2) (4,6) -10-8-6-4-2 -2 2 4 6 8 10 (-3, -1) -2 2 (1-5) -6 -8 -10 10 -10-8-6-4-2 2 6 8 10 (2,0)arrow_forwardUnit 1: Logic 1. Let P be the statement "x > 5” and let Q be the statement “y +3≤ x," and let R be the statement “y Є Z.” (a) Translate the following statements to English. (b) Negate the statements symbolically (c) Write the negated statements in English. The negations should not include any implications. • (QV¬R) AP • (P⇒¬Q) VR • (PVQ)¬R 2. Let R, S, and T be arbitrary statements. Write out truth tables for the following statements. Determine whether they are a tautology or a contradiction or neither, with justification. ⚫ (RAS) V (¬R ⇒ S) (R¬S) V (RAS) • (TA (SV¬R)) ^ [T⇒ (R^¬S)]arrow_forward10. Suppose the statement -R (SV-T) is false, and that S is true. What are the truth values of R and T? Justify your answer.arrow_forward
- 5. Rewrite the statements below as an implication (that is, in "if... then..." structure). n is an even integer, or n = 2k - 1 for some k Є Z. x²> 0 or x = 0. 6. Rewrite each statement below as a disjunction (an or statement). If I work in the summer, then I can take a vacation. • If x2 y.arrow_forward4. Negate the following sentences. Then (where appropriate) indicate whether the orig- inal statement is true, or the negation is true. ⚫ If I take linear algebra, then I will do my homework or go to class. • (x > 2 or x < −2) ⇒ |x| ≥ 2 • P⇒ (QVR) ⇒(¬PV QV R) Vn EN Em E Q (nm = 1) • Ex E N Vy & Z (x. y = 1)arrow_forward8. Give three statements that are logically equivalent to x ≥ 0⇒ (x² = 0V −x < 0). You may use any equivalences that you like.arrow_forward
- 3. Let P, Q, and R be arbitrary statements, and let x E R. Determine whether the statements below are equivalent using whatever method you like. • • -[-P → (QVR)] and ¬(¬P V Q) A¬R (PA¬Q) ⇒(¬PVS) and (SVP) VQ • x = 4 and √√√x=2 x = 4 and x2. = 16arrow_forward2. Claim events on a portfolio of insurance policies follow a Poisson process with parameter A. Individual claim amounts follow a distribution X with density: f(x)=0.0122re001, g>0. The insurance company calculates premiums using a premium loading of 45%. (a) Derive the moment generating function Mx(t).arrow_forward7. Write the inverse, converse, and contrapositive. Which are true? Which are false? If x is an even integer, then x² + 3x + 5 is an odd integer. If y 5n+1 for some natural number If a <0, then 2a < 0. n, then 5 y.arrow_forward
- 2. Claim events on a portfolio of insurance policies follow a Poisson process with parameter A. Individual claim amounts follow a distribution X with density: f(x)=0.0122re001, g>0. The insurance company calculates premiums using a premium loading of 45%. (a) Derive the moment generating function Mx(t).arrow_forward5. The volume V of a given mass of monoatomic gas changes with temperat re T according to the relation V = KT2/3. The work done when temperature changes by 90 K will be xR. The value of x is (a) 60 (b)20 (c)30 S (d)90arrow_forwardConsider a matrix 3 -2 1 A = 0 5 4 -6 2 -1 Define matrix B as transpose of the inverse of matrix A. Find the determinant of matrix A + B.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning

Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell

Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL

College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License