Consider the following functions of the random variables Y1, Y2, Y3: W1 = Y1 + Y2 + Y3 W2 = Y1 − Y2 W3 = Y1 − Y2 − Y3 1. (5 points) State the above in matrix notation. I. e., express the vector W = [W1, W2, W3] T as the product of a matrix and the vector Y = [Y1, Y2, Y3] T . 2. (5 points) Express the expectation of the random vector W in terms of the expectations of the Yi ’s. 3. (10 points) Express the variance-covariance matrix of W in terms of the variances and covariances of the Yi ’s (i. e., compute the elements of the Cov(W) matrix).

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you

a) 32pie square meters

step-by-step explanation:

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answer