Mm5 Select the best possible answer among the choices and show your solutions. Put abox on your final answer.1. Let x1,X2,...,Xn be a sample from a geometric distribution with probabilitye(1 - e)*. The likelihood is given byparameter 0, i.e., f(x||0)L(0\x1,x2, .., "n) = II"-1 f(xi|0). Determine a conjugate prior for 0 from thelikelihood function. The standardized likelihood is the same as whatdistribution?(Note: the kernel of the likelihood function is the part of the function thatcontains the parameter 0).a. Beta(a + 1,B + x;)b. Beta('x; + B,n + a)c. Beta(a + Pxi,B + n - Px)d. Beta(n + a,'x¡ + B)

Title: Conjugate Prior and Standardized Likelihood for Geometric Distribution Introduction:In this…

Select the best possible answer among the choices and show your solutions. Put a box on your final answer. 1. Let x1,x2,...,xn be a sample from a geometric distribution with probability 8, i.e., f(x₁0) 0(1-0). The likelihood is given by n) = II f(x0). Determine a conjugate prior for 8 from the function. The standardized likelihood is the same as what parameter L(0 x1, x2, likelihood distribution? = (Note: the kernel of the likelihood function is the part of the function that contains the parameter 8). a. Beta(a + 1,ß + x₁) b. Beta (x₁+ B,n + a) c. Beta(a + x₁,ß + n- - Px₁) d. Beta(n + a,²x₁ + B)|

Select the best possible answer among the choices and show your solutions. Put a box on your final answer. 1. Let x1,x2,...,xn be a sample from a geometric distribution with probability 8, i.e., f(x₁0) 0(1-0). The likelihood is given by n) = II f(x0). Determine a conjugate prior for 8 from the function. The standardized likelihood is the same as what parameter L(0 x1, x2, likelihood distribution? = (Note: the kernel of the likelihood function is the part of the function that contains the parameter 8). a. Beta(a + 1,ß + x₁) b. Beta (x₁+ B,n + a) c. Beta(a + x₁,ß + n- - Px₁) d. Beta(n + a,²x₁ + B)|

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.2: Probability

Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...

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