Assessing the Distribution of Three VariablesIn this assignment, you will characterize three variables in the ISLR College data set to determine whether the normal approximation is appropriate for that variable. You will need to load the ISLR package as well as MASS and stats. 1.Assess the distribution of the three variables (Accept, Grad.Rate, and PhD) and determine if the normal approximation is appropriate for their analysis. a.Plot a his...
Question 1: Rolling a Die1.What is the probability of rolling a four with a six sided die? What is the probability that a person can roll a four 3 times in a row? (assume that rolling the die each time does not affect the outcome of the next roll) 2.Population A and Population B both have a mean height of 70.0 inches with an SD of 6.0. A random sample of 50 people is picked from population A, and random sample of 20 people is sele...
Question 1: SAT Scores Distribution and Scholarship Consideration1.The distribution of SAT exam scores is approximately normal with = 500 and = 100. For the population of students who have taken the SAT, a.What proportion of students has SAT scores between 450 and 580? b.What is the percentile rank of someone who scores a 650? c.To be considered for a scholarship at State of Confusion College of University Studies, a stude...
Problem 1Problem 1 Quicklane Coffee is a drive-through coffee kiosk. During rush hour, the owner estimates that customers arrive at a rate of 12 per hour. It takes an average of 3 minutes to serve each customer, and one customer at a time is served. Assume Poisson arrivals and exponential service times. Use Excel to solve this problem. Also insert a text box that shows the formulas you use to calculate the requested ...
Descriptive analysis of business student's central location and variance/covariance measures1. Conduct a descriptive analysis of the sample of business students which includes the following:• measures of central location and variance/covariance for the relevant variables• represent each variable graphically using one of the types of graphs discussed in the course• represent any relevant relationships between the variables using ap...
Question 11. Shade the indicated area on the standard normal curve, then find the probability using your calculator or a standard normal table: a. P(z < -1.56) b. P( z > 2.06) 2. Adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. a. What IQ score represents the 95th percentile? b. What IQ score represents the 50th percentile? 3. If exam scores are normally distributed with a mean ...
Part 11.Create a repository in RapidMiner called Homework and create two subfolders Data and Processes under the Homework repository 2.Import the data from the file Titanic.xls attached on Blackboard and store it in a repository called Titanic in the Data subfolder you created above by doing the following a.In Design View Manually add the Read Excel Operator b.Manually add the Store operator and specify the repository c.Run the process t...
Data Analysis and InterpretationThe Fresh Detergent Case Enterprise Industries produces Fresh, a brand of liquid detergent. In order to more effectively manage its inventory, the company would like to better predict demand for Fresh. To develop a prediction model, the company has gathered data concerning demand for Fresh over the last 33 sales periods. Each sales period is defined as one month. The variables are as fol...
Question 1 (Gymnastics) on Standard Brownian MotionQ. 1 (Gymnastics). Let {Bt} be standard Brownian motion and fix 0 < s < t. a. Compute E(B7t). b. Compute E(e−B2t ). c. Compute E(|Bt|). d. Compute the joint distribution P{Bs ∈ dx, Bt ∈ dy}. e. Compute the conditional distribution P{Bt ∈ dy|Bs = x}. Q. 2 (Brownian transformations). Let {Bt} be standard Brownian motion. a. Let s > 0 and define B˜t := B...
Part 1: Correlation and Linear RegressionThere is a population of workers in this country who are employed but who do not earn enough in wages to securely cover the cost of their family’s basic needs. Although the numbers vary by state or district, these individuals and their families are similar in that they cross racial, cultural, and local boundaries. They are considered the nation’s “Working Poor.” This common grade...
Question 1: Interpretation of relative riskTask: 1. The relative risk of developing lung cancer among individuals who smoke is 15.0. Which of the following is the most accurate interpretation of this information?A) Individuals who have lung cancer are 15.0% more likely to smoke than individuals who do not have lung cancer.B) Individuals who have lung cancer are 15.0 times more likely to smoke than individuals who do not have lung cancer.C) Indi...
Value Chain in Detail for Home Bed Mattress IndustryOne of the most cumbersome items to buy is a bed mattress to sleep on. It is difficult to know how the product will perform before purchase and the large size makes mattresses difficult to transport. Several firms have begun to explore ways to disrupt this industry but arguably there is a long way to go before a truly viable business model will emerge. Two references are provided concerning...
Question: Learning Outcomes On successful completion of this assignment, you will: 1. Know how to perform correlation and regression analyses on a set of given data and interpret the results. 2. Perform straightforward statistical inferences. 3. Practice the principle of risk-based approach to data analysis through a mathematically case study with analytical and numerical approaches. 4. Use the probabilistic-based method so de...
The Language and Terminology1. Consider the following is data on the 9-month salary of mathematics faculty members (to the nearest thousand dollars) in the year 1999-00: 61 63 72 80 70 76 97 60 57 65 67 73 66 75 61 54 61 65 70 68 53 50 50 40 51 44 62 57 51 52 50 57 52 52 56 46 Use class width = 10K. Complete the following frequency table: Class 39.5 − 49.5 49.5 − 59.5 59.5 − 69.5 69.5 − 79.5 79.5 − 89.5 89...
The Language and Terminology1. Consider the following is data on the 9-month salary of mathematics faculty members (to the nearest thousand dollars) in the year 1999-00: 61 63 72 80 70 76 97 60 57 65 67 73 66 75 61 54 61 65 70 68 53 50 50 40 51 44 62 57 51 52 50 57 52 52 56 46 Use class width = 10K. Complete the following frequency table: Class 39.5 − 49.5 49.5 − 59.5 59.5 − 69.5 69.5 − 79.5 79.5 − 89.5 89...