![Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)](https://www.bartleby.com/isbn_cover_images/9780137554805/9780137554805_largeCoverImage.gif)
Concept explainers
In Problems 17–20, find the mean, variance, and standard deviation.
20.
![Check Mark](/static/check-mark.png)
Want to see the full answer?
Check out a sample textbook solution![Blurred answer](/static/blurred-answer.jpg)
Chapter 11 Solutions
Pearson eText for Calculus for Business, Economics, Life Sciences, and Social Sciences -- Instant Access (Pearson+)
- Problem 2. Show that D₁ = (DFFITS;)² MSE (1) (p+1)MSE' where MSE() is the mean squared error after the i-th data point is omitted.arrow_forwardSituation 9. Suppose that X has a lognormal distribution with parameters 0 = -2 and ² = 9. Determine the following: 18. P(500 x) = 0.1 20. The variance of X.arrow_forward5. Suppose the number of days it takes you to get a flu shot after it is available follows this equation: Y₂ = 30 - 2X₁ where y, is the number of days until you get the flu shot, and X, is the number of people you know who have the flu. Further, suppose on average you know 2.3 people who have the flu, with standard deviation 5. Suppose that the population has size m = 10. (a) Find the average time until you get the flu shot after it is available. (b) Find the standard deviation of time until you get the flu shot after it is available. (c) What is EY;?arrow_forward
- 4 Let f(x) = (1/10)(x-3)^2 for x = 1, 2, 3, 4, 5 %3D Find the standard deviation of X. For the instructor, this was question 11. / 1.8 X 3.1 X 3.4 X 3.5 X 9.4 X 12.4arrow_forwardSuppose the relationship between Y and X is given by: Y = 25 - 3X + error By how much does the expected value of Y change if X decreases by 2 units?arrow_forwardIf X N(49, 16), then the standard deviation of X equalsarrow_forward
- 19. In Saint Tropez, the probability that it rains on a given day is 10%. Given that it rains, the amount of rain has a density of f(x) = (1/3)e-/3. Find the variance of the amount of rain on a given day. A. 0.9 B. 1.7 C. 3.0 E. 9.0 D. 4.4arrow_forwardProblem 1. A civil engineer is studying a left-turn lane that is long enough to hold seven cars. Let X be the number of cars in the lane at the end of a randomly chosen red light. The engineer believes that the probability that X = x is proportional to (x+1)(8 - x) for x = 0, 1, - --, 7. (A) Find the PMF of X. (B) Find the probability that X is at least five.arrow_forwardThe mean time to expose a single panel in a circuit-board plant is 2 minutes with a standard deviation of 1.5 minutes. What is the natural coefficient of variation? If the times remain independent, what will be the mean and variance of a job of 60 panels? What will be the coefficient of variation of the job of 60? (Hint: The Central Limit Theorem for the Sum can be applied to this question.) Now suppose times to failure on the expose machine are exponentially distributed with a mean of 60 hours and the repair time is also exponentially distributed with a mean of 2 hours. What are the effective mean and CV of the process time for a job of 60 panels? (Hint: The mean and the standard deviation of an exponential distribution are the same.)arrow_forward
- Suppose that f (x) = (3/2)x2 for −1< x < 1. Determine the mean and standard deviation of X.arrow_forwardFor any variable X, if: the standard deviation = and the variance = Var(X) Which of the following statement is true: Select one: a. SD < Var(X) O b. (SD)² = Var(X) (SD) C. SD = [var(x)]²arrow_forwardThe mean time to expose a single panel in a circuit-board plant is 2 minutes with a standard deviation of 1.5 minutes. What is the natural coefficient of variation? If the times remain independent, what will be the mean and variance of a job of 60 panels? What will be the coefficient of variation of the job of 60?(Hint: The Central Limit Theorem for the Sum can be applied to this question.) Now suppose times to failure on the expose machine are exponentially distributed with a mean of 60 hours and the repair time is also exponentially distributed with a mean of 2 hours. What are the effective mean and CV of the process time for a job of 60 panels?(Hint: The mean and the standard deviation of an exponential distribution are the same.) Reconsider the expose machine of Problem 3 with mean time to expose a single panel of 2 minutes with a standard deviation of 1.5 minutes and jobs of 60 panels. As before, failures occur after about 60 hours of run time, but now happen only between jobs…arrow_forward
- Discrete Mathematics and Its Applications ( 8th I...MathISBN:9781259676512Author:Kenneth H RosenPublisher:McGraw-Hill EducationMathematics for Elementary Teachers with Activiti...MathISBN:9780134392790Author:Beckmann, SybillaPublisher:PEARSON
- Thinking Mathematically (7th Edition)MathISBN:9780134683713Author:Robert F. BlitzerPublisher:PEARSONDiscrete Mathematics With ApplicationsMathISBN:9781337694193Author:EPP, Susanna S.Publisher:Cengage Learning,Pathways To Math Literacy (looseleaf)MathISBN:9781259985607Author:David Sobecki Professor, Brian A. MercerPublisher:McGraw-Hill Education
![Text book image](https://www.bartleby.com/isbn_cover_images/9781259676512/9781259676512_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134392790/9780134392790_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168024/9781938168024_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780134683713/9780134683713_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781337694193/9781337694193_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781259985607/9781259985607_smallCoverImage.gif)