Suppose X and Y are independent, X has mean 5 and variance 9, Y has mean -3 and variance 6. Compute a. E[(3X + 2Y)(X + 4Y + 7)]. b. Var [6XY]
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![Suppose X and Y are independent, X has mean 5 and variance 9, Y has mean -3 and variance 6.
Compute
a. E[(3X + 2Y)(X + 4Y + 7)]. b. Var [6XY]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9d101e28-0426-4c1d-9533-17117e0a966a%2Fde17df02-4129-4ba0-8829-27b089b64a86%2Fj306eja_processed.png&w=3840&q=75)
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- . A study is conducted on the relationship of the number of absences (x) and the grades (y) of 15 students in BC212. Using r at 0.05 level of significance and the hypothesis that there is no significant relationship between absences and grades of the students in BC212, determine the relationship using the following data.r.05 = - 0.514Number of Absencesx Grades in BC212y122338614551219 908580758065709580807592898065N2In a college,there are 20 major subjects and 40 minor subjects,these are divided into 20 groups of 2 students each , such that all the ways of dividing them into group are equally likely . A = no of groups having 1 major subject and 1 minor subject Find the variance var (A) of A
- An analysis of variance produces SSbetween = 40, SSwithin = 60, and an F-ratio with df = 2, 15. For this analysis, what is the F-ratio?Suppose X = number of direct injuries occurring in a fire incident. Its PMF is given by x 0 1 2 3 4 5 6 7 f(x) 0.08 0.08 0.09 0.14 0.18 0.18 0.16 0.09 0.06 Determine the mean and variance of the number of direct injuries occurring in a fire incident. 8 0.06An analysis of variance produces SSetween 30, SSwithin " 60, and an F-ratio with df 2, 15. For this analysis, what is the F-ratio? O 2.00 O 0.50 O 3.75 O 0.27
- What is the Discrete Variable Variance for the following numbers:x = 0 and P(X = x) = 0.19x = 1 and P(X = x) = 0.27x = 2 and P(X = x) = 0.21x = 3 and P(X = x) = 0.33Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make independent choices with P(A) = 0.3, P(B) = 0.3, and P(C) = 0.4. (a) Among the next 210 customers, what are the mean and variance of the number who pay with a debit card? E(X) = V(X) = Explain your reasoning. This answer has not been graded yet. (b) Answer part (a) for the number among the 210 who don't pay with cash. E(X) = V(X) =6. Consider the data summarized in the R output below. Find the missing count (i.e., the value of x in the last row). count ? 4 ? [0,5) [5, 10) [10, 15) [15, 20) X cumpct 8.00 24.00 52.00 100.00 (a) 25 (b) 12 (c) 8 (d) 7 (e) 5
- The following table was generated from the sample data of 10 college students regarding the number of parking tickets the student receives in a semester, the student's age, and the student's GPA. The dependent variable is the student's GPA, the first independent variable (x1) is the number of parking tickets, and the second independent variable (x2) is the student's age. Coefficients Standard Error t-Stat p-value Intercept Number of Parking Tickets Student's Age 10.007932 1.276020 7.843086 0.000227 0.161287 -0.402717 0.037931 0.062759 4.252111 0.005368 -6.416861 0.000676 Step 1 of 2: Write the multiple regression equation for the computer output given. Round your answers to three decimal places. Answer How to enter your answer (opens in new window) + x1 + x2 Copy Data Tables Keypad Keyboard ShortcutsIf X~Gamma(4,6) the the variance of X is 4 24 144 LOLet wages denote hourly wages, educ years of education, and exper years of experience, and suppose log(wages) = f1 + 62educ + B3exper +e where E[eleduc, exper] = 0. Let b1, b2, and bz be our estimates for B1, B2, and ß3 and r23 denote the sample correlation between {educ,}", and {exper, }". Which of the following statements is true? II O a. The variance of b3 does not depend on r23. O b. The variance of b, is increasing in E" (educ, – educ,)² (all else equal). O c. The variance of b2 is at least as large as o²/ E", (educ, - educ,)2 for o? Var(eleduc, exper). O d. The variance of b2 depends on the sign of r23. O e. The variance of b2 always increases as r23 increases (all else equal).
