11.10 (W) The signaltonoise ratio (SNR) of a random variable quanties the accuracy of a measurement of a physical quantity. It is dened as E 2 [X] / V3100 and is seen to increase as the mean, which represents the true value, increases and also as the variance, which represents the power of the measurement error, i.e., Page 3'. of5 X ELY], decreases. For example, if X~N(,u,0'2 ), then SNR = ,u2 / 02. Determine the SNR if the measurement is X = A + U, Where A is the true value and U is the measurement error with U ~ U(1/ 2,1/ 2). For an SNR of 1000 what shouldA be