1 answer

The probability density function given below describes a probability distribution used to model scores on certain...

Question:

The probability density function given below describes a probability distribution used to model scores on certain exams/tests:

?(?)={(?+1)?? for 0≤?≤1, 0 otherwise. The parameter θ must be greater than 1.

a. Find E(X).

A random sample of 10 test-takers gives the following scores in proportions:

0.96 0.43 0.77 0.85 0.93 0.79 0.77 0.85 0.74 0.98

b. Using part a, find the method of moments estimator for θ using the first moment of X based on the data above.

c. Find the maximum likelihood estimator for θ based on the data above.


Answers

fut la random variable swth that @E12 21 1 6 3 maw mament 3 Soluhon to Ihis rqvation is 2.eStimatok 2. i d

.

Similar Solved Questions

1 answer
580 2,500 1,800 Seven Corporanion had the following items listed in its trial balance at 12/3...
580 2,500 1,800 Seven Corporanion had the following items listed in its trial balance at 12/3 1/2018: 3,100 11,000 Currency and coins Balance in checking account Customer checks waiting to be deposited Treasury bills, purchased on 11/1/2018 mature on 4/30/2019 Marketable equity securities Commercial...
1 answer
Consider these compounds: A. MgF2 B. BaF2 C. AgI D. BaCO3 Complete the following statements by...
Consider these compounds: A. MgF2 B. BaF2 C. AgI D. BaCO3 Complete the following statements by entering the letter corresponding to the correct compound. Without doing any calculations it is possible to determine that cobalt(II) carbonate is more soluble than ____, and cobalt(II) carbonate is less s...
1 answer
What is the structure and function of "electron transport chain" in chloroplast and mitochondria?
What is the structure and function of "electron transport chain" in chloroplast and mitochondria?...
1 answer
The ΔG for the freezing of H2O(l) at -10 ∘C is -210 J/mol and the heat of fusion of ice at this t...
The ΔG for the freezing of H2O(l) at -10 ∘C is -210 J/mol and the heat of fusion of ice at this temperature is 5610 J/mol . Find the entropy change of the universe when 2 mol of water freezes at -10 ∘C. (in J/K)...
1 answer
Genetics problem
Epistasis occurs when the the alleles of one gene mask the phenotypic effects of the alleles of another gene at a different locus. This phenomenon can be observedin the sweet pea, Lathyrus odoratus:* C (one purple color producing) allele is dominant to c (white)* P (another purple color producing) a...
1 answer
Max volume
what is the maximum possible volume of making a xob from an 8.5 x 11 inch sheet of paper made by cutting four squares from the paper? repeat with a 6x10 inch piece ofpaper...
1 answer
A firm evaluated all of its projects by applying the IRR rule. Year. Cash flow 0....
A firm evaluated all of its projects by applying the IRR rule. Year. Cash flow 0. -$156,000 1. 60,000 2. 79,000 3. 63,000 What is the projects IRR? [ do not round intermediate calculations and enter answer as a percent round to 2 decimal places] if the required return is 15 percent, should the firm ...
1 answer
Solve the system by elimination. 4 O One solution: ONo solution OInfinite number of solutions Get...
Solve the system by elimination. 4 O One solution: ONo solution OInfinite number of solutions Get help: Video Points possible: 1 Unlimited attempts. Submit...
1 answer
One of the key players in healthcare is the provider. This is the person who actually diagnoses and treats the patient....
One of the key players in healthcare is the provider. This is the person who actually diagnoses and treats the patient. Recently there have been reports of a shortage in this group of professionals. This shortage is expected to grow threatening the ability of patients to access needed care. Many rea...
1 answer
Use a t-distribution to find a confidence interval for the difference in means Ho = M,...
Use a t-distribution to find a confidence interval for the difference in means Ho = M, - My using the relevant sample results from paired data. Assume the results come from random samples from populations that are approximately normally distributed, and that differences are computed using d = xy - X...
2 answers
Pemand and Supply Analysis 1. Suppose that the aggregate demand and supply schedules for a hypothetical...
pemand and Supply Analysis 1. Suppose that the aggregate demand and supply schedules for a hypothetical economy are as shown below: Amount of Amount of Real GDP Real GDP Demanded, Supplied, Billions Price Level Billions (Price Index) $450 $100 300 400 200 250 300 200 300 200 150 400 100 100 500 a. U...
1 answer
Claymore Corporation maintains its book on a cash basis. During 2021, the company collected $950,000 in...
Claymore Corporation maintains its book on a cash basis. During 2021, the company collected $950,000 in fees from its clients and paid $662,000 in expenses. You are able to determine the following information about accounts receivable, supplies, prepaid rent, salaries payable, and interest payable: ...
1 answer
Question 22 Need Help With This Problem (3) Listed here are selected aggregate transaction for modern...
Question 22 Need Help With This Problem (3) Listed here are selected aggregate transaction for modern style furniture company from the first quarter of a recent year (dollar in million. Recorded collections of cash from customers owed on open account of $40.8 Repaid 5.6 in principal on-line of cred...
1 answer
Indicate the improved characteristics of polymers upon adding the Additives?
Indicate the improved characteristics of polymers upon adding the Additives?...
1 answer
In the oxidation of carbon monoxide to carbon dioxide, 2CO(g)+O2​(g)-->2CO2​(g), what is the numerical ratio of the rate of change in the concentration of CO2 to the rate of change in the concentration of O2?
In the oxidation of carbon monoxide to carbon dioxide, 2CO(g)+O2​(g)-->2CO2​(g), what is the numerical ratio of the rate of change in the concentration of CO2 to the rate of change in the concentration of O2?...
2 answers
The power dissipated by a light bulb increases by 50 W when the potential difference applied across the light bulb increases from 50 V to 100 V
The power dissipated by a light bulb increases by 50 W when the potential difference applied across the light bulb increases from 50 V to 100 V. Find the resistance of the light bulb....
1 answer
What does it mean if the discriminant of a quadratic is negative?
What does it mean if the discriminant of a quadratic is negative?...
1 answer
X Company is trying to decide whether to continue using old equipment to make Product A...
X Company is trying to decide whether to continue using old equipment to make Product A or replace it with new equipment that will have lower operating costs. The following information is available: The new equipment will cost $45,000. Disposal value at the end of its 5-year useful life will be $5,...
1 answer
Consider the circuit shown in (Figure 1). Suppose that Vg = 125 cos 250 V 80...
Consider the circuit shown in (Figure 1). Suppose that Vg = 125 cos 250 V 80 uF 50 Ω ug +1 3100 mH Load Find the average power absorbed by the load in the circuit. Use positive value if the power is absorbed and negative value if the power is delivered. Express your answer to three significant...