(7) What is the point estimate of the expected (mean) value of y for all elements given that x1=290, x2=230, x3=195,and D1=0?(1%)

5.(15%) Let X and Y be two independent random variables that follow a Poisson distribution with rate parameter θ and λ, respectively, i.e., X ~ Poisson(θ) and Y ~ Poisson(λ), Show that the distribution of X/(X+Y) is binomial with success probabilityθ/(θ+λ). Note: the probability density function of a Poisson distribution with rate parameter y is