Problem 4. Suppose that a person's score X on a mathematics aptitude test is a number between0 and 1, and that their score Y on a music aptitude test is also a number between 0 and 1. Supposefurther that in a certain population, the scores X and Y are distributed according to the joint PDF(2x + 3y) for 0≤x, y ≤1f(x, y) =otherwise(A) What proportion of college students obtain a score greater than 0.8 on the math test?(B) If the student's score on the music test is 0.3, what is the probability that their score on themath test will be greater than 0.8?(C) If a student's score on the math test is 0.3, what is the probability that their music test willbe greater than 0.8?

A person's score on mathematics aptitude test is a number between 0 and 1.A person's score on…

Answered: Problem 4. Suppose that a person's…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

15. The following five questions are based on the paper "THE POWER OF TV: CABLE TELEVISION AND WOMEN'S STATUS IN INDIA" by Jesnsen and Oster that tries to causally explore how access to cable television in villages in India affects domestic violence, preference for a male child and the autonomy that women enjoy. The variable "Village has cable" is a dummy variable equal to 1 if the village has access to cable and 0 otherwise. The variable beating attitude is a continuous variable, where higher beating attitude indicates higher instance of domestic violence. The variable son preference is a dummy variable which is equal to 1 if the household expressed preference for a male child. The variable autonomy is also a continuous variable where a higher number indicates higher autonomy for women. Two asterisks (stars) indicate statistical significance at the 5% level of signifinance, whereas three asterisks (stars) indicate statistical significance at the 1% level of significance Based on the…
A special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________
3. In a study of the relationship between birth order and college success, a researcher found that 126 in a sample of 180 college graduates were firstborn or only children; in a sample of 100 non-graduates of comparable age and socioeconomic background, the number of firstborn or only children was 54. Estimate the difference in the proportions of firstborn or only children for the two populations from which these samples were drawn. Give the bound for the error of the estimation.
15) The intercept is 0, the autoregressive coefficient is 0.2 and the moving average coefficient is 0.5 in an ARIMA(1,1,1) model. What is the one-step ahead forecast if the shock for the current period is -2 and the current and one-period lagged values of the forecast variable are 110 and 105?
Table 1 gives data on GDP (Y - in billions), foreign direct investment (X₂ - in billions), and corruption index (X3) 31. Y 45 50 54 58 63 69 74 78 X₂ 75 78 83 86 90 93 98 100 X3 15 12 9 6 3 -2 -5 -8 What is the value of Σx and Σx3, given that x₁ = X; - X? A. 579 and 475 B. 959 and 737 C. 675.2500 and -518.2500 D. - 567.1456and 255.3750
A weight-loss program wants to test how well their program is working. The company selects a simple random sample of 51 individual that have been using their program for 15 months. For each individual person, the company records the individual's weight when they started the program 15 months ago as an x-value. The subject's current weight is recorded as a y-value. Therefore, a data point such as (205, 190) would be for a specific person and it would indicate that the individual started the program weighing 205 pounds and currently weighs 190 pounds. In other words, they lost 15 pounds. When the company performed a regression analysis, they found a correlation coefficient of r = 0.707. This clearly shows there is strong correlation, which got the company excited. However, when they showed their data to a statistics professor, the professor pointed out that correlation was not the right tool to show that their program was effective. Correlation will NOT show whether or not there is…
A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Ex; = 1613, Σ(x; − x)² = 3756.96, Ey, = 281.9, Σ(y₁ - y)² = 465.34, and Ex,y; = 16,711. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Ho: P = -0.5 versus H₂: p < -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. O Reject Ho. There is no evidence that p < -0.5. O Fail to reject Ho. There is evidence that p < -0.5. O Fail to reject Ho. There is no evidence that p < -0.5. O Reject Ho. There is evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by…
4. A psychologist noted that people have more difficulty sleeping in a bright room than in a dark room. She measured whether the intensity of the light could predict the time it took a sample of four participants to fall asleep. The data for this hypothetical study are listed in the following table. Intensity of Light (X) Time it Took to sleep (Y) 5. 10 10 18 20 30 40 25 M = 18.75 M = 20.75 S= 15.48 S = 8.69 r= .68 Create a scatter plot of the data b. Calculater and r2 c. Report results in APA style. d. What do results mean? a.
Problem 11. (5 points) Use normal approximation to estimate the probability of getting at most 55 girls in 100 births. Assume that boys and girls are equally likely.
The population mean will always be the same as the mean of all possible X that can be computed from samles of size 24. True or false
The following table contains the average number of employees per 100 hectares (x) and the production rate per 100 hectares (y) at 15 different farms in a region. y 7.5 404 16.6 702 10.9 507 6.5 385 10 464 12.1 495 8.6 400 10.2 503 7.5 310 268 6.2 280 12 596 17.1 711 14.1 551 6.1 242
22 of 47 > Five strains of the Staphylococcus aureus bacteria were grown for 24 hours either at 35 degrees Celsius or at 43 degrees Celsius. The table gives the resulting bacterial counts for each condition: 24 hours at 35 degrees Celsius 24 hours at 43 degrees Celsius 66 98 71 67 93 42 102 31 62 77 Suppose we had plotted bacterial count at 35 degrees Celsius on the y axis instead of the x axis. How would this change affect the value of the correlation coefficient? The correlation would be the inverse of, or I over, the original value. The correlation coefficient would have the opposite sign. The correlation coefficient would be exactly the same. The correlation coefficient would have an entirely different magnitude.

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS