Suppose that X has the binomial distribution b(p,n). Find the Jeffreys prior for p and the associated Bayes estimator.
Suppose that X has the binomial distribution b(p,n). Find the Jeffreys prior for p and the associated Bayes estimator.
Consider the Binomial distribution for x= 0,1,2,3,…..,n.Find the maximum likelihood estimator of p when a single observation is taken?
Question 14: Suppose that, conditional on N, X has a Binomial distribution with N trials and probability of success p, and that N, itself, is a Binomial distribution with m trials and probability of success r. Find b. The conditional distribution of given X-x.
Suppose that x has a binomial distribution with n = 198 and p = 0.44. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (o) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x пр n(1 - p) Both np and n(1 – p) (Click to select) A 5...
Suppose that x has a binomial distribution with n = 200 and p = 0.42. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (o) to 4 decimal places.) (a) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x. np n(1 – p) Both np and n(1 – p) (Click to select) A 5...
Recall that the exponential distribution with parameter A > 0 has density g (x) Ae, (x > 0). We write X Exp (A) when a random variable X has this distribution. The Gamma distribution with positive parameters a (shape), B (rate) has density h (x) ox r e , (r > 0). and has expectation.We write X~ Gamma (a, B) when a random variable X has this distribution Suppose we have independent and identically distributed random variables X1,..., Xn, that...
Suppose that x has a binomial distribution with n = 198 and p = 0.41. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal places. Round the intermediate value (σ) to 4 decimal places.) A) Show that the normal approximation to the binomial can appropriately be used to calculate probabilities about x. np n(1 – p) Both np and n(1 – p) large/smaller than 5 B) Make...
Suppose the random variable X has a binomial distribution corresponding to n = 20 and p = 0.20. Use the Cumulative Binomial Probabilities table to calculate these probabilities. (Enter your answers to three decimal places.)(a) P(X = 8) (b) P(X ≥ 9)
Suppose X is a binomial distribution with parameters n and p. Find the Bias and MSE of the following estimators for p (а) Өт (b) Ө2 (c) For which values of p is MSE(e1) < MSE(e2)? х X+1 n+2
3. Suppose Xi, X2, and X are independent random variables drawn from a binomial distribution with parameters p and n. The observed values are Xi -3, X2-4, and (a) Suppose n 12 and p is unknown. What is the maximum likelihood estimator (b) Suppose p - 0.4 and n is unknown. What is the maximum likelihood estimator for p? for n? (Note: Since n is discrete you can't use calculus for this; just write the formula and use trial and...
44 Let X,..., X. be a random sample from Find the Pitman estimator for the location parameter (f) Using the prior density g(0)--e-n,”(θ. find the posterior Bayes estimator (g) Of θ. 44 Let X,..., X. be a random sample from Find the Pitman estimator for the location parameter (f) Using the prior density g(0)--e-n,”(θ. find the posterior Bayes estimator (g) Of θ.