Show that (X+1)/(n+2) is a biased estimator of the binomial parameter θ. Is this estimator asymptotically unbiased
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Show that (X+1)/(n+2) is a biased estimator of the binomial parameter θ. Is this estimator asymptotically unbiased?
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- Suppose X has a binomial distribution with p = 0.3 and n = 10. Compute P(X=0), P(X=2), E(X) and VarX.When a man observed a sobriety checkpoint conducted by a police department, he saw 656 drivers were screened and 5 were arrested for driving while intoxicated. Based on those results, we can estimate that P(W)equals=0.00762,where W denotes the event of screening a driver and getting someone who is intoxicated. What does P(W) denote, and what is its value? What does P(W) represent? P(W)=Let {Xi}ni be IID from Bernoulli(p). Find the method of moments estimator of p and use simulations to check whether your estimator is biased or not
- A medical researcher says that less than 85% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than 8585% of adults in the country think that healthy children should be required to be vaccinated. Your answer is correct. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not enter your response here%. C. More than enter your response here% of adults in the country think that healthy children…A medical researcher says that less than 86% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 84% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than 8686% of adults in the country think that healthy children should be required to be vaccinated. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not nothing%. C. nothing% of adults in the country think that healthy children should be required to be vaccinated. D. More than nothing%…1. If X,X2, .,X, forms a random sample of size n from a population with pdf f(x; 0,8) = for x>0 elsewhere Find estimators for 8 and 0 by the method of moments.
- #5. Two dice are rolled 300 times. Let X = number of double sixes obtained (out of 300 rolls). (a) Find P(X = 8) using the Poisson approximation to the binomial. (b) Find the mgf of W = 3X + 2.4. Using the inverse CDF method, find formulae for generating random variables having the following PDFs: (a) f(x) = 2 cos x 3 sin³ x " (b) f(x) = 8x (x + 1)³ 0≤x≤1. 3"Please answer number2
- A medical researcher says that less than 85% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 300 adults in that country, 83% think that healthy children should be required to be vaccinated. At α=0.01, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. (a) Identify the claim and state H0 and Ha. Identify the claim in this scenario. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) A. Less than enter your response here% of adults in the country think that healthy children should be required to be vaccinated. B. The percentage of adults in the country who think that healthy children should be required to be vaccinated is not enter your response here%. C. More than enter your response here% of adults in the country think that healthy children…Find the method of moments estimators of an non-zero MA(1) process.
