Please prove Cov(Y1 Y2) = (rho) ρ σ1 σ2 , using Z1 = (y1 - μ1) / σ1 ; Z2 = (y2 - μ2) / σ2.
(This section is talking about Bivariate Normal Distribution; A tds calculation)
Suppose Y1, Y2, ... Yn are mutually independent random variables with Y1 ~ N(μ1, (σ1)^2) Y2 ~ N(μ2, (σ2)^2) ... Yn ~ N(μn, (σn)^2) Find the distribution of U=summation(from i=1 to n) ((Yi - μi)/σi)^2 I am not sure where should I start this question, could you please show me the detail that how you do these two parts? thanks :)
solve these 3 problems please the equation for number 2 is (X1-X)^2 + (Y1-Y2)^2 + (Z1-Z2)^2 = (T1-T2)^2 C^2 260.g68) and (2,20.0000, 246-412s 1. At time 341.980us you receive the following signals: (1, -13.5000, Convert the locations in miles to locations in feet and the times in microseconds to nanoseconds. The speed of the radio signal is the speed of light. c, which happens to be 299,792.458 m/s exactly. For our purposes take the speed of light to be exactly...