! Let X_1 and X_2 be independent randomvariables for which P(X_i = 1) = 2/5 andP(X_i = 2) = 3/5. Define U = X_1+X_2 andV = X_1 x X_2. Calculate Cor(U, V).%3D

Correlation Coefficient between two Random Variables: If X and Y be two random variables, then the…

Answered: Let X_1 and X_2 be independent random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To test the effect of a physical fitness course on one's physical ability, the number of sit-ups that a person could do in one minute, both before and after the course, was recorded. Ten individuals are randomly selected to participate in the course. The results are displayed in the following table. Using this data, find the 95% confidence interval for the true difference in the number of sit-ups each person can do before and after the course. Assume that the numbers of sit-ups are normally distributed for the population both before and after completing the course. Sit-ups before 37 49 43 42 35 31 46 42 25 23 Sit-ups after 44 53 51 48 41 34 49 47 29 30 Step 1 of 4 : Find the point estimate for the population mean of the paired differences. Let x1 be the number of sit-ups before taking the course and x2 be the number of sit-ups after taking the course and use the formula d=x2−x1 to calculate the paired differences. Round your answer to one decimal place.
Laura Mail... 2y³ · 3xy³ (1) 3x²y4 6.
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2. The Ghana Revenue Authority (GRA) publishes annual figures on individual income tax returns in Statistics of Income, Individual Income Tax Returns. For the year 2009, the GRA reported that the mean tax of individual income tax returns was GH¢ 10,319. In actuality, the GRA reported the mean tax of a sample of 292,966 individual income tax returns from a total of more than 130 million such returns. a. Identify the population under consideration. b. Identify the variable under consideration. c. Is the mean tax reported by the GRA a sample mean or the population mean? d. Should we expect the mean tax x, of the 292,966 returns sampled by the GRA to be exactly the same as the mean tax, µ, of all individual income tax returns for 2009? e. How can we answer questions about sampling error? For instance, is the sample mean tax x reported by the GRA likely to be within GH 100 of the population mean tax, µ?

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Let X_1 and X_2 be independent random variables for which P(X_i = 1) = 2/5 and P(X_i = 2) = 3/5. Define U = X_1+X_2 and V = X_1 x X_2. Calculate Cor(U, V ). %D