Let X1, X2, ..., X5 be a random sample of size n = 5 from the normal distribution N(0, θ). (a) Argue that the ratio R = (X2 1 + X2 2 )/(X2 1 + ... + X2 5 ) and its denominator (X2 1 + ... + X2 5 ) are independent. (b) Does 5R/2 have an F-distribution with 2 and 5 degrees of freedom? Explain your answer. (c) Compute E(R)