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Montgomery College Binomial Distribution & Histogram Questions

Experience 5 - The Binomial Distribution Questions: How do you know when to use the binomial distribution to ...

Montgomery College Binomial Distribution & Histogram Questions

Experience 5 - The Binomial Distribution Questions: How do you know when to use the binomial distribution to model a situation? What are the requirements for a binomial experiment? [4 bullets] When dealing with the binomial distribution, why are the possible values for the random variable always 0,1,2,3,…,n where n is the number of trials or sample size? Why can't we use negative values, or fractions, or numbers greater than n? [3 sentences] Under what conditions is a binomial distribution symmetric? Skewed left? Skewed right? Why? [3 sentences] How is the area in the bars of a binomial histogram related to the probability of choosing those X values? (Hint: figure it out for a single bar) [3 sentences] Experience 6 - Continuous Probability Distributions Critical Thinking Questions What does a z-score tell you about a number in a data set? [1 sentence] What two quantities do we need to fully describe a normal distribution? [1 sentence] How is probability determined from a continuous distribution? Why is this easy for the uniform distribution and not so easy for the normal distribution? [2 sentences] What does the symmetric bell shape of the normal curve imply about the distribution of individuals in a normal population? [2 sentences] How can the empirical rule be restated in terms of z-scores and percentiles? Restate it for four of the seven z-scores. Hint: Use the definitions of z-score and percentile and avoid use of the phrase "standard deviation" or the numbers 68, 95, and 99.7. [4 statements] Experience 7 - Normal Distributions Critical Thinking Questions Why is the probability that a continuous random variable is equal to a single number zero? (i.e. Why is P(X=a)=0 for any number a) [1 sentence] In what ways can a quick drawing of the normal curve (not a detailed empirical rule drawing but a simple one like that shown in the instructor's video) be used to estimate or verify your answer to a problem like practice exercises 2-4? [2 sentences] The empirical rule says that 95% of the population is within 2 standard deviations of the mean, but when I find the z-scores that mark off the middle 95% of the standard normal distribution I calculate -1.96 and 1.96. Is this a contradiction? Why or why not? In other words why are the normal distribution calculators not agreeing with the empirical rule? [2 sentences] Suppose you randomly select an individual from a population that is normally distributed and they are above average. When you find out the probability of randomly selecting that individual is very very small, what are some possible explanations? In other words what does this very very small probability suggest? [3 sentences]

Locate a CURRENT visual presentation of data in a newspaper, magazine, or internet article, and, if possible, attach it to your post, or give us a link to it so that we may find it

Answer should be informal, and around 2-3 paragraphs with 2 in-text citations from internet sources. See below f ...

Locate a CURRENT visual presentation of data in a newspaper, magazine, or internet article, and, if possible, attach it to your post, or give us a link to it so that we may find it

Answer should be informal, and around 2-3 paragraphs with 2 in-text citations from internet sources. See below for question. (I check for plagiarism)Locate a CURRENT visual presentation of data in a newspaper, magazine, or internet article, and, if possible, attach it to your post, or give us a link to it so that we may find it. Outline what is being represented in the information, and then determine whether any visual displays are being used to mislead the viewer. Argue your point for thinking this, and if there are abuses, what could be done to correct them?

MGF 1107 Miami Dade College Mathematics for the Liberal Arts 2 Questions

Number Representation and CalculationAs you are going through the sections in Chapter 4, you will notice that we are worki ...

MGF 1107 Miami Dade College Mathematics for the Liberal Arts 2 Questions

Number Representation and CalculationAs you are going through the sections in Chapter 4, you will notice that we are working with different bases.Please explain to the class what it means to:Rewrite a number to a different baseAdd two or three numbers to a different baseSubtract two numbers in a different baseWhy do we learn to work with numbers in different bases?Please provide examples of your answers.Number Theory and the Real Number SystemAs you are going through the sections in Chapter 5, you will notice that we are working with real numbers.Please explain to the class what it means to:Describe a number as a "prime number" and a “composite number”Give an example of a prime and a composite numbers and tell the class why such numbers are prime/compositePlease provide examples of your answers.Algebra: Equations, Inequalities, GraphsAs you are going through the sections in Chapters 6 & 7, you will notice that we are working with functions.Please explain to the class what it means to:Plot an ordered pair (x, y)Check if an ordered pair is a solution of an equation Have a slope of "0" and an undefined slopePlease provide examples of your answers.Personal FinanceAs you are going through the sections in Chapter 8, you will notice that we are working with percent, sales tax, and income tax.Please explain to the class what it means to:Express a fraction as a percent Express a decimal as a percentExpress a percent as a decimalExpress a percent as a fractionPlease provide examples of your answers.Voting and ApportionmentAs you are going through the sections in Chapter 13, you will notice that we are working with voting and apportionment. You should be now be familiar with voting methods.Please explain to the class what it means to:Use preference tables Use the plurality method to determine an election's winnerUse the Borda Count method to determine an election's winnerUse the plurality-with-elimination method to determine an election's winnerPlease provide examples of your answers.Graph TheoryAs you are going through the sections in Chapter 14, you should now be familiar with graphs, paths, and circuits. Please explain to the class what it means to:Model relationships using graphsUse Fleury's Algorithm to find possible Euler paths Use Fleury's Algorithm to find possible Euler circuitPlease provide examples of your answers.

8 pages

Stat 200 Week 4 Homework Problems

The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during ...

Stat 200 Week 4 Homework Problems

The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of ...

MATH 112 Embry Riddle Aeronautical University Applied Calculus Questions

1. The distance s (in 𝑚undefined[𝑎] 𝑚/𝑠 as a function of time t (in 𝑠 ) is given by𝑠=4[𝑎]𝑡−4.9� ...

MATH 112 Embry Riddle Aeronautical University Applied Calculus Questions

1. The distance s (in 𝑚undefined[𝑎] 𝑚/𝑠 as a function of time t (in 𝑠 ) is given by𝑠=4[𝑎]𝑡−4.9𝑡2 .Your instructor will provide you with a. Simply replace the letter with the corresponding digit. Do not multiply. For example, if [𝑎]=1, then 4[𝑎] is 41.Find the answers to these questions.find 𝑡 for 𝑣=0find 𝑣 for 𝑡=4find 𝑣 for 𝑡=5What conclusions can you draw?State the value you are using for a before you show the work to answer these four questions. Remember to use the Canvas Equation Editor. Find the derivative of each of the following functions, first by using the product rule, then by multiplying each function out and finding the derivative of the higher-order polynomial. Post both solutions using the Canvas Equation Editor along with explanations of the intermediate steps that demonstrate your understanding of the derivative(4𝑥+6)(9𝑥−5)4𝑥2(3𝑥3−2𝑥2+5𝑥)(3𝑥2−𝑥+1)(7−𝑥6)(ℎ3−5)(3ℎ2−5ℎ−4)Submit your initial post by the fourth day of the module week.

5 pages

1. The purpose of the one-sample t test is to test which of the following? Determine if one sample has the same characteri ...

1. The purpose of the one-sample t test is to test which of the following? Determine if one sample has the same characteristics as a sample from a ...

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Montgomery College Binomial Distribution & Histogram Questions

Experience 5 - The Binomial Distribution Questions: How do you know when to use the binomial distribution to ...

Montgomery College Binomial Distribution & Histogram Questions

Experience 5 - The Binomial Distribution Questions: How do you know when to use the binomial distribution to model a situation? What are the requirements for a binomial experiment? [4 bullets] When dealing with the binomial distribution, why are the possible values for the random variable always 0,1,2,3,…,n where n is the number of trials or sample size? Why can't we use negative values, or fractions, or numbers greater than n? [3 sentences] Under what conditions is a binomial distribution symmetric? Skewed left? Skewed right? Why? [3 sentences] How is the area in the bars of a binomial histogram related to the probability of choosing those X values? (Hint: figure it out for a single bar) [3 sentences] Experience 6 - Continuous Probability Distributions Critical Thinking Questions What does a z-score tell you about a number in a data set? [1 sentence] What two quantities do we need to fully describe a normal distribution? [1 sentence] How is probability determined from a continuous distribution? Why is this easy for the uniform distribution and not so easy for the normal distribution? [2 sentences] What does the symmetric bell shape of the normal curve imply about the distribution of individuals in a normal population? [2 sentences] How can the empirical rule be restated in terms of z-scores and percentiles? Restate it for four of the seven z-scores. Hint: Use the definitions of z-score and percentile and avoid use of the phrase "standard deviation" or the numbers 68, 95, and 99.7. [4 statements] Experience 7 - Normal Distributions Critical Thinking Questions Why is the probability that a continuous random variable is equal to a single number zero? (i.e. Why is P(X=a)=0 for any number a) [1 sentence] In what ways can a quick drawing of the normal curve (not a detailed empirical rule drawing but a simple one like that shown in the instructor's video) be used to estimate or verify your answer to a problem like practice exercises 2-4? [2 sentences] The empirical rule says that 95% of the population is within 2 standard deviations of the mean, but when I find the z-scores that mark off the middle 95% of the standard normal distribution I calculate -1.96 and 1.96. Is this a contradiction? Why or why not? In other words why are the normal distribution calculators not agreeing with the empirical rule? [2 sentences] Suppose you randomly select an individual from a population that is normally distributed and they are above average. When you find out the probability of randomly selecting that individual is very very small, what are some possible explanations? In other words what does this very very small probability suggest? [3 sentences]

Locate a CURRENT visual presentation of data in a newspaper, magazine, or internet article, and, if possible, attach it to your post, or give us a link to it so that we may find it

Answer should be informal, and around 2-3 paragraphs with 2 in-text citations from internet sources. See below f ...

Locate a CURRENT visual presentation of data in a newspaper, magazine, or internet article, and, if possible, attach it to your post, or give us a link to it so that we may find it

Answer should be informal, and around 2-3 paragraphs with 2 in-text citations from internet sources. See below for question. (I check for plagiarism)Locate a CURRENT visual presentation of data in a newspaper, magazine, or internet article, and, if possible, attach it to your post, or give us a link to it so that we may find it. Outline what is being represented in the information, and then determine whether any visual displays are being used to mislead the viewer. Argue your point for thinking this, and if there are abuses, what could be done to correct them?

MGF 1107 Miami Dade College Mathematics for the Liberal Arts 2 Questions

Number Representation and CalculationAs you are going through the sections in Chapter 4, you will notice that we are worki ...

MGF 1107 Miami Dade College Mathematics for the Liberal Arts 2 Questions

Number Representation and CalculationAs you are going through the sections in Chapter 4, you will notice that we are working with different bases.Please explain to the class what it means to:Rewrite a number to a different baseAdd two or three numbers to a different baseSubtract two numbers in a different baseWhy do we learn to work with numbers in different bases?Please provide examples of your answers.Number Theory and the Real Number SystemAs you are going through the sections in Chapter 5, you will notice that we are working with real numbers.Please explain to the class what it means to:Describe a number as a "prime number" and a “composite number”Give an example of a prime and a composite numbers and tell the class why such numbers are prime/compositePlease provide examples of your answers.Algebra: Equations, Inequalities, GraphsAs you are going through the sections in Chapters 6 & 7, you will notice that we are working with functions.Please explain to the class what it means to:Plot an ordered pair (x, y)Check if an ordered pair is a solution of an equation Have a slope of "0" and an undefined slopePlease provide examples of your answers.Personal FinanceAs you are going through the sections in Chapter 8, you will notice that we are working with percent, sales tax, and income tax.Please explain to the class what it means to:Express a fraction as a percent Express a decimal as a percentExpress a percent as a decimalExpress a percent as a fractionPlease provide examples of your answers.Voting and ApportionmentAs you are going through the sections in Chapter 13, you will notice that we are working with voting and apportionment. You should be now be familiar with voting methods.Please explain to the class what it means to:Use preference tables Use the plurality method to determine an election's winnerUse the Borda Count method to determine an election's winnerUse the plurality-with-elimination method to determine an election's winnerPlease provide examples of your answers.Graph TheoryAs you are going through the sections in Chapter 14, you should now be familiar with graphs, paths, and circuits. Please explain to the class what it means to:Model relationships using graphsUse Fleury's Algorithm to find possible Euler paths Use Fleury's Algorithm to find possible Euler circuitPlease provide examples of your answers.

8 pages

Stat 200 Week 4 Homework Problems

The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during ...

Stat 200 Week 4 Homework Problems

The commuter trains on the Red Line for the Regional Transit Authority (RTA) in Cleveland, OH, have a waiting time during peak rush hour periods of ...

MATH 112 Embry Riddle Aeronautical University Applied Calculus Questions

1. The distance s (in 𝑚undefined[𝑎] 𝑚/𝑠 as a function of time t (in 𝑠 ) is given by𝑠=4[𝑎]𝑡−4.9� ...

MATH 112 Embry Riddle Aeronautical University Applied Calculus Questions

1. The distance s (in 𝑚undefined[𝑎] 𝑚/𝑠 as a function of time t (in 𝑠 ) is given by𝑠=4[𝑎]𝑡−4.9𝑡2 .Your instructor will provide you with a. Simply replace the letter with the corresponding digit. Do not multiply. For example, if [𝑎]=1, then 4[𝑎] is 41.Find the answers to these questions.find 𝑡 for 𝑣=0find 𝑣 for 𝑡=4find 𝑣 for 𝑡=5What conclusions can you draw?State the value you are using for a before you show the work to answer these four questions. Remember to use the Canvas Equation Editor. Find the derivative of each of the following functions, first by using the product rule, then by multiplying each function out and finding the derivative of the higher-order polynomial. Post both solutions using the Canvas Equation Editor along with explanations of the intermediate steps that demonstrate your understanding of the derivative(4𝑥+6)(9𝑥−5)4𝑥2(3𝑥3−2𝑥2+5𝑥)(3𝑥2−𝑥+1)(7−𝑥6)(ℎ3−5)(3ℎ2−5ℎ−4)Submit your initial post by the fourth day of the module week.

5 pages

1. The purpose of the one-sample t test is to test which of the following? Determine if one sample has the same characteri ...

1. The purpose of the one-sample t test is to test which of the following? Determine if one sample has the same characteristics as a sample from a ...