Let Y = X + N, where X is the input, N is the noise, and Y is the output of a system. Assume that X and N are independent random variables. It is given that E[X] = 0, Var[X] = σ 2 X, E[N] = 0, Var[N] = σ 2 N . (a) Find the correlation coefficient rho between the input X and the output Y . (b) Suppose we estimate the input X by a linear function g(Y ) = aY . Find the value of a that minimizes the mean squared error E[(X − aY ) 2 ]. (c) Express the resulting mean squared error in terms of η = σ 2 X/σ2 N .

unpaid balance is : $149.99-$50 = $99.99 new balance = 149.99+2.62-50 = $102.61 finance charge = 99.99- 0.21/12= $1.75 new balance = 99.99+1.75 = $101.74 average daily balance method average daily balance= 3399.70/30 = $113.32 finance charge = $ 0.21/12ă—113.32 = $1.98 new balance = $149.99-50+1.98 = $101.97

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

b

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u take $75 minus $60.the anwer/original($75)multiply by 100

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

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