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MAT 10251 University of Technology Sydney Basic Probability Questions
Question 1 - Basic Probability (10 marks)According to a recent study, 9 out of 10 parents have helped their adult children ...
MAT 10251 University of Technology Sydney Basic Probability Questions
Question 1 - Basic Probability (10 marks)According to a recent study, 9 out of 10 parents have helped their adult children with some financial assistance. The following table shows the number of times parents have given their adult children financial assistance to buy a car and to pay the rent.Pay the rentYes NoBuy a car Yes 90 50No 10 150a. Develop a joint probability table. (2 marks)b. Using the marginal probabilities for ‘buy a car’ and ‘pay the rent’, are parents more likely to assist their adult children with buying a car or paying the rent? What is your interpretation of the marginal probabilities? (2 marks)c. If parents provided financial assistance to buy a car, what is the probability that the parents assisted with paying rent? (2 marks)d. If parents did not provide financial assistance to buy a car, what is the probability that the parents assisted with paying rent? (2 marks)e. What is the probability that parents provided financial assistance for their adult children by either helping to buy a car or pay rent? (2 marks)Question 2 – Normal Distribution (10 marks)The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 20 minutes. Answer the following questions:a. What is the probability of completing the exam in 120 minutes or less? (2 marks)b. What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? (2 marks)c. What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes? (2 marks)d. Assume that the class has 120 students and that the examination period is 180 minutes in length. How many students do you expect will be unable to complete the examination in the allotted time? (4 marks)Question 3 – Sampling Distribution (10 marks)The Economics Policy Institute periodically issues reports on wages of entry-level workers. The Institute reported that entry-level wages for male college graduates were $43.36 per hour, and for female college graduates were $37.60 per hour. Assume the standard deviation for male graduates is $2.30 and for female graduates is $2.05.a. What is the probability that a sample of 50 male graduates will provide a sample mean within $0.50 of the population mean, $43.36? (3 marks)b. What is the probability that a sample of 50 female graduates will provide a sample mean within $0.50 of the population mean, $37.60? (3 marks)c. In which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within $0.50 of the population mean? Why? (2 marks)d. What is the probability that a sample of 120 female graduates will provide a sample mean more than $0.30 bel
RSCH 8210 WU Wk 3 Introduction to Quantitative Analysis Descriptive Analysis
Hi,Please use the template attached for the assignment. Also, references. Thanks
RSCH 8210 WU Wk 3 Introduction to Quantitative Analysis Descriptive Analysis
Hi,Please use the template attached for the assignment. Also, references. Thanks
Answer precalculus word problem.
A store owner pays her employees a time and a half for overtime. that means for every hour an emploee works more ...
Answer precalculus word problem.
A store owner pays her employees a time and a half for overtime. that means for every hour an emploee works more than 40 hours per week, the store will pay 1.5 times the regular hourly wage of $8.50. a. write a function that defines the hourly pay for emploees who work up to but not more than 40 hours a week. b. write a function that defines the hourly pay for overtime hours worked.c. combine the two functions to form a piecewise function, in which each function is defined for a specific domain
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MAT 10251 University of Technology Sydney Basic Probability Questions
Question 1 - Basic Probability (10 marks)According to a recent study, 9 out of 10 parents have helped their adult children ...
MAT 10251 University of Technology Sydney Basic Probability Questions
Question 1 - Basic Probability (10 marks)According to a recent study, 9 out of 10 parents have helped their adult children with some financial assistance. The following table shows the number of times parents have given their adult children financial assistance to buy a car and to pay the rent.Pay the rentYes NoBuy a car Yes 90 50No 10 150a. Develop a joint probability table. (2 marks)b. Using the marginal probabilities for ‘buy a car’ and ‘pay the rent’, are parents more likely to assist their adult children with buying a car or paying the rent? What is your interpretation of the marginal probabilities? (2 marks)c. If parents provided financial assistance to buy a car, what is the probability that the parents assisted with paying rent? (2 marks)d. If parents did not provide financial assistance to buy a car, what is the probability that the parents assisted with paying rent? (2 marks)e. What is the probability that parents provided financial assistance for their adult children by either helping to buy a car or pay rent? (2 marks)Question 2 – Normal Distribution (10 marks)The time needed to complete a final examination in a particular college course is normally distributed with a mean of 160 minutes and a standard deviation of 20 minutes. Answer the following questions:a. What is the probability of completing the exam in 120 minutes or less? (2 marks)b. What is the probability that a student will complete the exam in more than 120 minutes but less than 150 minutes? (2 marks)c. What is the probability that a student will complete the exam in more than 100 minutes but less than 170 minutes? (2 marks)d. Assume that the class has 120 students and that the examination period is 180 minutes in length. How many students do you expect will be unable to complete the examination in the allotted time? (4 marks)Question 3 – Sampling Distribution (10 marks)The Economics Policy Institute periodically issues reports on wages of entry-level workers. The Institute reported that entry-level wages for male college graduates were $43.36 per hour, and for female college graduates were $37.60 per hour. Assume the standard deviation for male graduates is $2.30 and for female graduates is $2.05.a. What is the probability that a sample of 50 male graduates will provide a sample mean within $0.50 of the population mean, $43.36? (3 marks)b. What is the probability that a sample of 50 female graduates will provide a sample mean within $0.50 of the population mean, $37.60? (3 marks)c. In which of the preceding two cases, part (a) or part (b), do we have a higher probability of obtaining a sample estimate within $0.50 of the population mean? Why? (2 marks)d. What is the probability that a sample of 120 female graduates will provide a sample mean more than $0.30 bel
RSCH 8210 WU Wk 3 Introduction to Quantitative Analysis Descriptive Analysis
Hi,Please use the template attached for the assignment. Also, references. Thanks
RSCH 8210 WU Wk 3 Introduction to Quantitative Analysis Descriptive Analysis
Hi,Please use the template attached for the assignment. Also, references. Thanks
Answer precalculus word problem.
A store owner pays her employees a time and a half for overtime. that means for every hour an emploee works more ...
Answer precalculus word problem.
A store owner pays her employees a time and a half for overtime. that means for every hour an emploee works more than 40 hours per week, the store will pay 1.5 times the regular hourly wage of $8.50. a. write a function that defines the hourly pay for emploees who work up to but not more than 40 hours a week. b. write a function that defines the hourly pay for overtime hours worked.c. combine the two functions to form a piecewise function, in which each function is defined for a specific domain
4 pages
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Q1. Alfa Company is issuing eight-year bonds with a coupon rate of 6.5 percent and semiannual coupon payments. If the curr ...
Fin Awxxx
Q1. Alfa Company is issuing eight-year bonds with a coupon rate of 6.5 percent and semiannual coupon payments. If the current market rate for similar ...
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Please prepare 2-3 paragraphs.An important practice is to check the validity of any data set that you analyze. One goal is ...
Descriptive Statistics
Please prepare 2-3 paragraphs.An important practice is to check the validity of any data set that you analyze. One goal is to detect typos in the data, and another would be to detect faulty measurements. Recall that outliers are observations with values outside the “normal” range of values of the rest of the observations. Specify a large population that you might want to study and describe the type numeric measurement that you will collect (examples: a count of things, the height of people, a score on a survey, the weight of something). What would you do if you found a couple outliers in a sample of size 100? What would you do if you found two values that were twice as big as the next highest value? You may use examples from your area of interest, such as monthly sales levels of a product, file transfer times to different computer on a network, characteristics of people (height, time to run the 100 meter dash, statistics grades, etc.), trading volume on a stock exchange, or other such things.
11 pages
Week One Assignment
Do not manipuilate Data set on this page, copy The ongoing question that the weekly assignments will focus on is: Are male ...
Week One Assignment
Do not manipuilate Data set on this page, copy The ongoing question that the weekly assignments will focus on is: Are males and females paid
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