6. Let X*** X be IID random variables with the density function f(x; 0) = 1- x (1-0)/0,x > 0. a) Find the method of moment estimator of 0. b) Find the MLE of 0. 7. Let X1, X2, be IID random variables with the density function f(x; 0) = (0+1)x, 0 x1. c) Find the method of moment estimator of 0. d) Find the MLE of 0. 8. Let X*** Xbe IID random variables with the density function f(x; 0) = 2,0 < 0 < x. Obtain the MLE of 0. 9. Let X1, X2, X, be a random sample from a Rayleigh distribution with unknown parameter 0: f(x; 0) = exp ( x), x > 0. a) Find the method of moment estimator of 0. b) Find the MLE of 0. 10. The interarrival times of 10 consecutive customers have a sample mean of 14.3 seconds. If these times have an exponential distribution with parameter 2, find an estimate of using the method of moments.