Both images are one continuous question Let Y,., Y, be i.i.d with mean py and variance oY is an unbiased estimator ofuy. Is Yan unbiased estimator of p?First, note that for a random variable Xvar(X) = E(X) - E(X? =E(x)-, and E(XX) =r, for itj.So,= Ei= 1j=1 j#iHence,O A.is an unbiased estimator of uYes,O B.No,Ý is not an unbiased estimator of u.Y is a consistent estimator of µy. Is Y a consistent estimator of u?Click to select your answer.e Type here to search =Ei=1 j±iHence,O A.is an unbiased estimator ofYes,O B.No, Y is not an unbiased estimator of u.Y is a consistent estimator of py. Is Y a consistent estimator of u?E(Y) =Ei=1 j#iHence,O A. Yes. Y is a consistent estimator of uy.O B.No,is not a consistent estimator of uClick to select your answer.P Type here to search

Given information: Y1....Yn be i.i.d with: mean = μx, and variance =σy2 Y¯ is Unbiased for μy

Answered: =E i=1 i=1jti Hence, O A. Yes, is an…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Suppose there are n assets which are uncorrelated. (They mightbe n different “wild cat” oil well prospects.) You may invest in any one, or in any combination of them. The mean rate of return r¯ is the same for each asset, but the variances are different. The return on asset i has a variance of σ2i for i = 1, 2, . . . , n.(a) Show the situation on an r¯-σ diagram. Describe the efficient set.(b) Find the minimum-variance point. Express your result in terms of σ¯2 =!"ni=11σ2i#−1.
2- Homoskedasticity means that the variance of the dependent term is constant. True False
Using the properties of variance, what is the variance of Y=4X−5 where Var(X)=1?
A store sells from 0 to 12 computers per day. Is the amount of daily computer sales a discrete or continuous random variable?
The table gives the joint probability distribution of the number of sports an individual plays (X) and the number of times she may get injured while playing (1) X=3 0.15 0.06 0.15 0.02 Y=4 Y=3 Y=2 Y=1 X=1 0.12 0.05 0.10 0.15 The covariance between X and Y. xy.is (Round your answer to two decimal places. Enter a minus sign if your answer is negative.) The correlation between X and Y, con(X, Y), is (Round your answer to two decimal places. Enter a minus sign if your answer is negative) An increase in the number of sports an individual plays will tend to X=2 0.08 0.05 0.03 0.04 the number of times she may get injured while playing
A large consumer goods company ran a television advertisement for one of its soap products. On the basis of a survey that was conducted, probabilities were assigned to the following events. B = individual purchased the product S = individual recalls seeing the advertisement BnS = individual purchased the product and recalls seeing the advertisement The probabilities assigned were P(B) = 0.20, P(S) = 0.40, and P(BS) = 0.12. a. What is the probability of an individual's purchasing the product given that the individual recalls seeing the advertisement (to 1 decimal)? Does seeing the advertisement increase the probability that the individual will purchase the product? - Select your answer - As a decision maker, would you recommend continuing the advertisement (assuming that the cost is reasonable)? - Select your answer - + b. Assume that individuals who do not purchase the company's soap product buy from its competitors. What would be your estimate of the company's market share (to the…
A proprietor of a food-stall has invented a new item of food delicacy which he calls WHIM. He has calculated that the cost of manufacture is Re. 1 per piece and that because of its novelty and quality it would be sold for Rs. 3 per piece. It is, however, perishable, and any goods unsold at the end of the day are a dead loss. He expects the demand to be variable and has drawn up the following probability distribution. 14 No. of pieces demanded : Probability (i) Find the value of k. 10 11 12 13 15 k + 0:02 k + 0.05 5k -0.02 7k + 0:03 2k + 0-02 2k (ii) Find an expression for his net profit or loss if he manufactures m pieces and only n are demanded; consider separately the two cases n m. (ii) Assume that he manufactures 12 pieces. using the result in (i) ab ove, find his net profit or loss for ea ch level of demand. (v) Also obtain the net profits for di fferent levels of demand and produ ction, each ranging from 10 to 15. (iv) Using the probability distributio n, calculate his expected…
A factory production process produces a small number of defective parts in its daily production. Is the number of defective parts a discrete or continuous random variable?
What is the variance of u conditional on income, var(ulinc)? Consider the following savings model: Where inc = income and sav = savings A. var(inche) B. incvar(e) C. var(sqrt(inc)) D. var(e) sav= Bo + B₁inc + u, u = √inc * e
Given that z is a standard normal random variable, compute the following probabilities. Round your answers to 4 decimal places. a. P(0 ≤ z≤ 0.63) b. P(-1.59 ≤ ≤ 0) c. P(Z > 0.30) d. P(z > -0.31) e. P(Z < 2.17) f. P(z ≤ -0.61)
3. For the standardized normal distribution, the following probabilities is ? (1.26 < Z < 1.63) = a) P(Z = 1.63) – P(Z = 1.26) b) P(Z = 1.63) + P(Z = 1.26) %3D %3D c) 0.5 – P(z= 1.63) d) b & c.
ii) Suppose that you find out that you have an OLS estimator which is unbiased but has a non-minimum variance. Discuss two practical steps that you take to reduce the variance of your OLS estimator. Explain your reasoning.

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