Let X = (X1, X, )" be a bivariate random variable with variance-covariance matrix4-1.5E(X – E(X))(X – E(X))") = (-1.51You are given thatX1 + aX2is independent of X1.Find the number a. Give your answer in 2 decimal places.Answer:

Answered: Image /qna-images/answer/df6d88be-740f-4aea-a251-7dd69f1a754c.jpg

Answered: Find the number a. Give your answer in…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.2: The Least Square Line

Problem 5E

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Similar questions

If X is a Poisson variable such that P(X = 2) = 9P(X = 4) +90 P(X = 6), find the mean and variance of X.
If X is a random variable with pdf f(x) = 2x − 2 where x = (1, 2), find the variance of Y = 2X - 3.
Let X be a random variable and Y = aX + b with a ̸= 0. Show that the correlation between X and Y is either +1 or −1. State the conditions which make the correlation equal to +1.
Let X have a mean of 132 and a variance of 32. Define Y = X² + 2X + 1. Compute the (a) mean and (b) variance of Y. (a) i (b) i
Let X and Y be independent random variables with means x,y and variances o, oy. Find an expression for the correlation of XY and Y in terms of these means and variances.
Let X be a random variable and a real number. Show that E(X - a)² = varX + (µ − a)² Hereμ = EX is the expected value of the random variable X and varX = E(X - μ)^2 is the variance of the random variable X. Guidance: start from the representation - (X-a)^2 = (X µ + μ- a)^2 and group the right side of the representation appropriately into the form (Z + b)^2, where Z is some random variable and b is a real number and open the square. The task should be solved with the help of the expected value calculation rules.
Let X be a random variable with mean E[X] = 20 and variance Var(X) = 3. Define Y = 3 – 6X. Calculate the mean and variance of Y.

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