2. According to genetic theory, there are three blood types MM, NM and NN which should...
please help with all of these questions, thanks. Suppose that diseased trees are distributed randomly and uniformly throughout a large forest with an average of λ per acre. Let X denote the number of diseased trees in a randomly chosen one-acre plot with range, 0, 1,2,...^ (a) What distribution can we use to model X? Write down its probability mass function (p.m.f (b) Suppose that we observe the number of diseased trees on n randomly chosen one-acre parcels, Xi, X2,...
1. Suppose that diseased trees are distributed randomly and uniformly throughout a large forest with an average of λ per acre. Let X denote the number of diseased trees in a randomly chosen one-acre plot with range, 0,1,2,.. a) What distribution can we use to model X? Write down its probability mass function (b) Suppose that we observe the number of diseased trees on n randomly chosen one-acre parcels, X1, X2, ..., X The random variables Xi, X2, ...,X, can...
1. Suppose that diseased trees are distributed randomly and uniformly throughout a large forest with an average of λ per acre. Let X denote the number of diseased trees in a randomly chosen one-acre plot with range, 0,1,2,.. a) What distribution can we use to model X? Write down its probability mass function (b) Suppose that we observe the number of diseased trees on n randomly chosen one-acre parcels, X1, X2, ..., X The random variables Xi, X2, ...,X, can...
B2. (a) Suppose θ is an unknown parameter which is to be estimated from a single measurement X, distributed according to some probability density function f(r0). The Fisher information I(0) is defined by de Show that, under some suitable regularity conditions, the variance of any unbi- ased estimator θ of θ is then bounded by the reciprocal of the Fisher information Var | θ 1(8) Note that the suitable regularity conditions, which are not specified here, allow the interchange of...
As on the previous page, let X1,... ,Xn be iid with pdf where θ > 0. (to) 2 Possible points (qualifiable, hidden results) Assume we do not actually get to observe Xı , . . . , X. . Instead let Yı , . . . , Y, be our observations where Yi = 1 (Xi 0.5) . Our goal is to estimate 0 based on this new data. What distribution does Y follow? First, choose the type of distribution:...
As on the previous page, let Xi,...,Xn be i.i.d. with pdf where >0 2 points possible (graded, results hidden) Assume we do not actually get to observe X, . . . , Xn. to estimate based on this new data. Instead let Yİ , . . . , Y, be our observations where Yi-l (X·S 0.5) . our goals What distribution does Yi follow? First, choose the type of the distribution: Bernoulli Poisson Norma Exponential Second, enter the parameter of...