Given below is a bivariate distribution for the random variables and y.f(x,y) x0.3a. Compute the expected value and the variance for and y.x+yE(x) =E(y) =Var(z) =Var(y) =b. Develop a probability distribution for 2+ y (to 2 decimals).13080386176169f(x + y).30.2.50.5* >*100c. Using the result of part (b), compute E(x + y) and Var(x + y)503040y805060 80100c. Using the result of part (b), compute E(x+y) and Var(x + y)..5E(x+y)=Var(x + y) =469d. Compute the covariance and correlation for 2 and y. If required, round your answers to two decimal places.99Hide Feedback.2Covariance =CorrelationThe random variables and y are positively relatede. The variance of the sum of a and y is bigger thanBy how much?Var(x+y) is greater than Var(x) + Var(y) by twice the covariancePartially Correcti.98* >the sum of the individual variances.

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Answered: Given below is a bivariate distribution…

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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Given below is a bivariate distribution for the random variables e and y. f(x, y) x 0.3 50 80 0.6 20 30 0.1 50 60 a. Compute the expected value and the variance for t and y. E(x) = E(y) = Var(a) = Var(y) = b. Develop a probability distribution for æ+y (to 2 decimals). x +y f(x + y) 130 50 110 c. Using the result of part (b), compute E(x + y) and Var(x + y). E(x + y) : Var(z + y) = d. Compute the covariance and correlation for a and y. If required, round your answers to two decimal places. Covariance = Correlation =
# Consider a random variable X with the expected value of 5 and E (X²) = 40. Calculate the variance of X. 15 i 9
V is a normal Gaussian random variable. P = (V-1)² d. Find the PDF of P. e. Find the expected value of P.
Required A Random Variable X has a mean value = -2, and the second moment (m2) = 11, another Random Variable Y = 2X - 2,The variance of the random variable Y
Please do all parts and please show step by step
A scientist claims that pneumonia causes weight loss in mice. The table shows the weights (in grams) of six mice before infection and two days after infection. At α=0.01, is there enough evidence to support thescientist's claim? Assume the samples are random and dependent, and the population is normally distributed. Complete parts (a) through (e) below. Mouse 1 2 3 4 5 6 Weight (before) 23.3 20.9 22.3 21.3 20.9 20.7 Weight (after) 23.2 21.0 22.2 21.3 20.7 20.7 (a) Identify the claim and state H0 and Ha. What is the claim? A. Weight gain causes pneumonia in mice. B. Pneumonia causes weight loss in mice. Your answer is correct. C. Weight loss causes pneumonia in mice. D. Pneumonia causes weight gain in mice. Let μd be the hypothesized mean of the difference in the weights (before−after). What are H0 and Ha? A. H0: μd≤0 Ha: μd>0 Your answer is…
it is multichoice, thank you!
Q. Fourteen (V, X) : There are no correlated random variables X,Y with a? = 2a where Corr(X,Y) = a
X-X Z= Z-score: Variance: σ ²=Σ(x-4)²P For questions 1 - 4, answer the questions about discrete random variables. Find the mean of the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 1 2 3 4 5 X 3 4 5 6 7 P(x) 0.3 0.2 0.1 0.3 0.1 P(x) 0.1 0.2 0.3 0.15 0.25 1 2 Find E(X) for the discrete random variable with the probability distribution below. Find the mean of the discrete random variable with the probability distribution below. X 0 2 4 6 8 X 1 4 5 6 8 P(x) 0.1 0.1 0.1 0.2 0.5 P(x) 0.2 0.2 0.2 0.3 0.1 3
Q1.2 Mean of X A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. X = # of drinks per day Probability Save Answer Q1.3 Variance of X X = # of drinks per day Probability 0 0.38 Find the mean for this random variable, that is find ux. Show your work in the space below. Save Answer A medical practice collects data on its patients with respect to several personal habits. The following table gives the distribution of the number of alcoholic drinks consumed per day in that population of patients. 0 0.38 Q1.4 Standard Deviation of X X = # of drinks per day Probability 1 0.32 0 0.38 1 0.32 2 0.25 Find the variance for this random variable, that is find (ox)². Only show the first and last term of the work required. 1 2 0.25 A medical practice collects data on its patients with respect to several personal habits. The following table…
See attached image.
2. Given below is a bivariate distribution for the random variables x and y, where x is the number of car sales in a year for Car Dealership 1 and y is the number of car sales in a year for Car Dealership 2. The covariance of x and y is . f(x,y) .2 50 80 .5 30 50 .3 40 60 64 87 96 102

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Given below is a bivariate distribution for the random variables and y. f(x, y) = 0.2 50 0.5 0.3 30 40 V 80 50 60