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CSUEB Basic Statistics & Probability Samples & R Programming Exam Practice
Please answer the attached basic stats questions and use R programming for the questions 5 and 6Question 1. [20 points] Th ...
CSUEB Basic Statistics & Probability Samples & R Programming Exam Practice
Please answer the attached basic stats questions and use R programming for the questions 5 and 6Question 1. [20 points] The distribution of automobile speeds on a certain highway is normally distributed
with a mean of 71.6 miles/hour, and a standard deviation of 4.53 miles/hour. (a) What is the probability that an automobile travels slower than 75 miles/hour?
(b) What is the probability that an automobile travels faster than 65 miles/hour?
(c) What is the probability that an automobile travels between 65 and 75 miles/hour? (d) What is the 90th percentile for the speeds of automobiles on this highway? 2
Question 2. [10 points] Let X1, X2, · · · , X100 be a random sample of size n = 100 from a population with
mean µ = 20 and σ = 15. Let X¯ =
1
100
P100
i=1 Xi
.
(a) What is E(X¯) and SD(X¯) (i.e., the mean and standard deviation of the sampling distribution for X¯)?
(b) What distribution does the sample mean X¯ follow? Explain.
(c) Calculate P(X >¯ 23)
Question 3. [10 points] From past experience, it is known that the number of tickets purchased by each
customer standing in line at the ticket window at a certain movie theater follows a distribution with mean
µ = 1.5 and standard deviation σ = 0.6. Suppose that there are 40 customers waiting in line to get tickets
before the start of a movie. If only 55 tickets remain, what is the probability that all 40 customers will be
able to purchase the tickets they desire? Question 4.[10 points] Mark the following as either True or False. (a) The mean and median are usually approximately equal when the distribution of data in a
histogram is skewed right.
(b) The daily commute for an employee takes an average of 1.3 hours with a standard deviation of
0.45 hours. When converting from hours to minutes, the average commute time is 78 minutes with a
standard deviation of 27 minutes. (c) The following scenario is an example of stratified random sampling: A polling agency is interested in determining how concerned adult Americans are about the coronavirus’s effect on the economy.
The agency decides to interview a simple random sample of adults from each state. The number of
adults sampled in each state is proportional to the population size of each state.
(d) The following scenario is an example of simple random sampling: An administrator at a University is interested in conducting a survey to investigate how students are adapting to online instruction.
The administrator decides to sample every 10th student from an alphabetical listing of all students that
attend the University. (e) Observational studies can be used to infer cause-and-effect relationships between variables. Question) Let X1, X2, · · · , Xn be independent and identically distributed (i.i.d.) random variables.
Let E(Xi) = µ and V ar(Xi) = σ
2
. Let T =
Pn
i=1 Xi
. Show that E(T) = nµ and V ar(T) = nσ2
.
Discussion: Perfect Job for a Mathematician
Write a letter, as the mathematician, to the prospective employer indicating how "your" knowledge, skills, and experience ...
Discussion: Perfect Job for a Mathematician
Write a letter, as the mathematician, to the prospective employer indicating how "your" knowledge, skills, and experience make you the best candidate for the job. Your letter should be at least 300 words and relate to the Learning Outcomes of this course. Use the Hunt Library resources to research a mathematician's background. Be sure to relate your mathematician to the Learning Outcomes to get started, use the Mathematicians & Their History Research Guide (Links to an external site.)https://famous-mathematicians.com/edward-witten/LEARNING OUTCOMES:-Use the basic properties of the real number system to perform algebraic operations including factoring, operations with fractions, exponents, and radicals.-Graph linear, quadratic, polynomial, and rational functions by using standard forms, symmetry, intercepts, asymptotes, and vertical and horizontal shifts.-Solve linear, quadratic, absolute value, rational, exponential, and logarithmic equations Transpose formulas and solve verbal problems that require the use of these types of equations.-Solve linear inequalities and identify their solutions by using interval notation and graphs.-Use the distance, midpoint, point-slope-intercept formulas to solve problems involving line and line segments.-Solve verbal problems involving direct, inverse and joint variation.-Define function, domain, and range; and identify examples of each.-Graph exponential and logarithmic functions and solve word problems dealing with thesefunctions.-Convert radians to degrees, degrees to radians and solve arc length problems using radians.-Define the six trigonometric functions and the fundamental trigonometric identities, and use them to find the values of various trigonometric functions.-Use the six trigonometric functions to solve right triangle problems, resolve vectors into rectangular components, and solve force and displacement problems using vectors.-Solve word problems by using linear systems of two equations.-Solve oblique triangle problems using the law of sines and the law of cosines.Think about today's job market and how your mathematician would fit in the working world.Identify a current job opening that would best utilize your selected mathematician's knowledge and skills. Use sources such as Indeed (Links to an external site.)Links to an external site. or Monster (Links to an external site.)Links to an external site. to find job postings. Save the posted job description in a document.APA please cite all work
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Most Popular Content
CSUEB Basic Statistics & Probability Samples & R Programming Exam Practice
Please answer the attached basic stats questions and use R programming for the questions 5 and 6Question 1. [20 points] Th ...
CSUEB Basic Statistics & Probability Samples & R Programming Exam Practice
Please answer the attached basic stats questions and use R programming for the questions 5 and 6Question 1. [20 points] The distribution of automobile speeds on a certain highway is normally distributed
with a mean of 71.6 miles/hour, and a standard deviation of 4.53 miles/hour. (a) What is the probability that an automobile travels slower than 75 miles/hour?
(b) What is the probability that an automobile travels faster than 65 miles/hour?
(c) What is the probability that an automobile travels between 65 and 75 miles/hour? (d) What is the 90th percentile for the speeds of automobiles on this highway? 2
Question 2. [10 points] Let X1, X2, · · · , X100 be a random sample of size n = 100 from a population with
mean µ = 20 and σ = 15. Let X¯ =
1
100
P100
i=1 Xi
.
(a) What is E(X¯) and SD(X¯) (i.e., the mean and standard deviation of the sampling distribution for X¯)?
(b) What distribution does the sample mean X¯ follow? Explain.
(c) Calculate P(X >¯ 23)
Question 3. [10 points] From past experience, it is known that the number of tickets purchased by each
customer standing in line at the ticket window at a certain movie theater follows a distribution with mean
µ = 1.5 and standard deviation σ = 0.6. Suppose that there are 40 customers waiting in line to get tickets
before the start of a movie. If only 55 tickets remain, what is the probability that all 40 customers will be
able to purchase the tickets they desire? Question 4.[10 points] Mark the following as either True or False. (a) The mean and median are usually approximately equal when the distribution of data in a
histogram is skewed right.
(b) The daily commute for an employee takes an average of 1.3 hours with a standard deviation of
0.45 hours. When converting from hours to minutes, the average commute time is 78 minutes with a
standard deviation of 27 minutes. (c) The following scenario is an example of stratified random sampling: A polling agency is interested in determining how concerned adult Americans are about the coronavirus’s effect on the economy.
The agency decides to interview a simple random sample of adults from each state. The number of
adults sampled in each state is proportional to the population size of each state.
(d) The following scenario is an example of simple random sampling: An administrator at a University is interested in conducting a survey to investigate how students are adapting to online instruction.
The administrator decides to sample every 10th student from an alphabetical listing of all students that
attend the University. (e) Observational studies can be used to infer cause-and-effect relationships between variables. Question) Let X1, X2, · · · , Xn be independent and identically distributed (i.i.d.) random variables.
Let E(Xi) = µ and V ar(Xi) = σ
2
. Let T =
Pn
i=1 Xi
. Show that E(T) = nµ and V ar(T) = nσ2
.
Discussion: Perfect Job for a Mathematician
Write a letter, as the mathematician, to the prospective employer indicating how "your" knowledge, skills, and experience ...
Discussion: Perfect Job for a Mathematician
Write a letter, as the mathematician, to the prospective employer indicating how "your" knowledge, skills, and experience make you the best candidate for the job. Your letter should be at least 300 words and relate to the Learning Outcomes of this course. Use the Hunt Library resources to research a mathematician's background. Be sure to relate your mathematician to the Learning Outcomes to get started, use the Mathematicians & Their History Research Guide (Links to an external site.)https://famous-mathematicians.com/edward-witten/LEARNING OUTCOMES:-Use the basic properties of the real number system to perform algebraic operations including factoring, operations with fractions, exponents, and radicals.-Graph linear, quadratic, polynomial, and rational functions by using standard forms, symmetry, intercepts, asymptotes, and vertical and horizontal shifts.-Solve linear, quadratic, absolute value, rational, exponential, and logarithmic equations Transpose formulas and solve verbal problems that require the use of these types of equations.-Solve linear inequalities and identify their solutions by using interval notation and graphs.-Use the distance, midpoint, point-slope-intercept formulas to solve problems involving line and line segments.-Solve verbal problems involving direct, inverse and joint variation.-Define function, domain, and range; and identify examples of each.-Graph exponential and logarithmic functions and solve word problems dealing with thesefunctions.-Convert radians to degrees, degrees to radians and solve arc length problems using radians.-Define the six trigonometric functions and the fundamental trigonometric identities, and use them to find the values of various trigonometric functions.-Use the six trigonometric functions to solve right triangle problems, resolve vectors into rectangular components, and solve force and displacement problems using vectors.-Solve word problems by using linear systems of two equations.-Solve oblique triangle problems using the law of sines and the law of cosines.Think about today's job market and how your mathematician would fit in the working world.Identify a current job opening that would best utilize your selected mathematician's knowledge and skills. Use sources such as Indeed (Links to an external site.)Links to an external site. or Monster (Links to an external site.)Links to an external site. to find job postings. Save the posted job description in a document.APA please cite all work
(Lesson 13) Graphing Exponential and Logarithmic Functions, continued
Complete the following questions. (PLEASE WRITE ANSWERS IN A WORD DOCUMENT!!) -- LINK -- http://ogburn.org/wp-content/uplo ...
(Lesson 13) Graphing Exponential and Logarithmic Functions, continued
Complete the following questions. (PLEASE WRITE ANSWERS IN A WORD DOCUMENT!!) -- LINK -- http://ogburn.org/wp-content/uploads/2016/05/Alg-I...
3 pages
Project Summary
A study was conducted between 2015-2016 to determine the average age of online bachelor’s program students in the US A p ...
Project Summary
A study was conducted between 2015-2016 to determine the average age of online bachelor’s program students in the US A population of N=227 of online ...
20 pages
Stat
Week 2 some exercises have answers I need to show work, calculations for the results Show all relevant work; use the equat ...
Stat
Week 2 some exercises have answers I need to show work, calculations for the results Show all relevant work; use the equation editor in Microsoft Word ...
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