Answered: Find the expected value E(X) of the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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%3D For the relation Y= 12-4 X between X and Y; if standard deviation of X, o, =5 then, variance of Y will be Select one: O 100 O 400 O 20 O 200
→ xC 0 D Remaining Time: 1 hour, 45 minutes, 21 seconds. v Question Completion Status: 2x= JUT The sample correlation coefficient is: O 0.8990 O 0.8854 O 0.9202 O 0.8143 1.5 poi QUESTION 23 research worker wants to determine the average time it takes a mechanic to rotate the tires of a car, and she wants to be able to assert with 9596 confidence that the mean of her sample is off by at most 0.4 minutes. If she can presume from past experience that the actual time follows normal distribution with a standard deviation of 1.5 minutes, how large the sample will she have to take? O 5 O 39 O 38 O 54 Click Save and Submit to save and submit. Click Save All Answers to save all answers. Save All Answers Close Window
A company has recorded the following customer inter-arrival times and service times for 10 customers at one of its single teller service lines. Assume the data are exponentially distributed and the 10 data points represent a reasonable sample. Refer to the information below. All time in minutes Inter- Customer Service arrival 11.08 2.2 2. 7.5 3.5 6. 1.1 4 5.75 12.5 5. 8.5 6. 9.15 2.7 15.5 5.3 8. 13 8.5 6. 10.5 4. 10 1.5 What is the mean arrival rate per hour ()? (Use two decimals) Refer to Scenario 3. What is the mean service rate per hour (u)? (Use two decimals)
Below are some frequency distribution data that were collected from a recent experiment that looks at musicians and their ability to improvise. Let’s say for the sake of this example that these are continuous data. X is the number of years playing piano, and f is the frequency reported. X f7 66 55 54 53 12 21 00 2 a. Compute the median number of years that participants reported playing the piano without using a formula.
q15
The multiple correlation (R) is: The correlation between predicted and observed scores. The sum of the simple r's. The highest simple r. Always between 0 and 1 (inclusive).
(please give correct answer with explanation)
man loves, as everyone should, to collect and analyze statistical information. He wishes to find a relationship between how many hours students study and how they do on their statistics tests. He takes a random sample of 16 students at Ideal U., asks how many hours they studied for a university-wide stat test and how they did on the test, enters the data into a computer for analysis and presents the results below. ANALYSIS OF HOURS AND GRADES (n = 16): Descriptive Statistics: HOURS GRADES Mean: 4.2 75.8 Mode: 5.0 79.0 St. Dev: 2.3 10.1 Quartiles: Q0 2.0 34.0 Q1 3.2 53.7 Q2 4.7 78.5 Q3 6.3 86.9 Q4 9.0 97.0 Regression Analysis: Reg. Eq. is: GRADE = 16.9 + 9.025*HOURS Rsquared = .985 std error = 0.027 F = 8.52 p = .018 What problem might there be in using the regression model to predict what grade a student might get if they studied 10 hours? a. The predicted grade for 10 hours is more than 100, which is impossible. b. The value of 10…
A federal regulatory agency is investigating an advertised claim that a certain device can increase the gasoline mileage of cars (mpg). Ten such devices are purchased and installed in cars belonging to the agency. Gasoline mileage for each of the cars is recorded both before and after installation. The data are recorded here. Car 1 2 3 4 5 6 7 8 9 10 n x s Before (mpg) 19.1 29.9 17.6 20.2 23.5 26.8 21.7 25.7 19.5 28.2 10 23.22 4.25 After (mpg) 25.8 23.7 28.7 25.4 32.8 19.2 29.6 22.3 25.7 20.1 10 25.33 4.25 Change (mpg) 6.7 −6.2 11.1 5.2 9.3 −7.6 7.9 −3.4 6.2 −8.1 10 2.11 7.54 (a) The cars in the study appear to have grossly different mileages before the devices were installed. Use the change data to test whether there has been a significant gain in mileage after the devices were installed. Use ? = .05. H0: ?after ?before Ha: ?after ?before t = p-value
A random sample of 42 earthquakes that have occurred between January 2015 and September 2017 was selected and for each earthquake the magnitude of the earthquake and the number of people killed was recorded. The data appear in the scatterplot below. 400 350 300 250 200 150 100 50 0 3 -50 4 5 6 7 8 9 10 -100 -150 Magnitude of Earthquake 8 Consider the scatterplot above question 2. Use this scatterplot to describe completely the relationship between the magnitude of the earthquake and the number of people killed. Positive and linear Negative, moderate, linear O Negative, strong, linear Positive, moderate, linear Number of People Killed ---

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Find the expected value E(X) of the following data. Round your answer to one decimal place. X 2,3,4,5,6 P(X=x) 0.2,0.3,0.2,0.1,0.2