The income of individuals in a given population is independently and identically distributed with a N (4, 100) distribution, A researchersampled the income of 25 individuals from such populations, and calculated the average Y =Ex) /25.Which of the following is correct?O None of the aboveO Pr(Y

Given, The income of individuals are i.i.d. with a N(μ,100), The researcher sampled the income of…

Answered: The income of individuals in a given…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The Index of Industrial Production (IPt) is a monthly time series that measures the quantity of industrialcommodities produced in a given month. This problem uses data on this index for the United States. Allregressions are estimated over the sample period 1986:M1–2013:M12 (that is, January 1986 through December2013). Let Yt = 1200 × ln(IPt/IPt−1).(a) A forecaster states that Yt shows the monthly percentage change in IP, measured in percentage points perannum. Is this correct? Why?(b) Suppose she estimates the following AR(4) model for Yt:Yˆt = 0.787 + 0.052Yt−1 + 0.185Yt−2 + 0.234Yt−3 + 0.164Yt−4Use this AR(4) to forecast the value of Yt in January 2014, using the following values of IP for July 2013 throughDecember 2013:Table 1:Date 2013 M:7 2013 M:8 2013 M:9 2013 M:10 2013 M:11 2013 M:12IP 99.016 99.561 100.196 100.374 101.034 101.359(c) Worried about potential seasonal fluctuations in production, she adds Yt−12 to the autoregression. Theestimated coefficient on Yt−12 is 0.061, with…
iid *1. Let Y1,..., Yn * uniform(0, 1). Find the distribution of their geometric mean: U = i=1 (Hint: consider first finding the distribution of –n log U.) - N (µ, o2). Find the distribution of Y and show that P(Y s e") = 0.5 (i.e., e" is *2. Let log Y the median of Y).
If W denotes the weight (in pounds) of an individual and t denotes time (in weeks), then dW/dt is the rate of weight gain or loss (in lb/wk). Suppose that a person weighed 220 pounds 10 weeks ago, and now weighs 198 pounds. Using the Mean Value Theorem, show that their rate of rate loss must have exceeded 2 lb/wk at some point during this 10 week period.
2. How is the exponential distribution related to each of the following? (a) Gamma (b) Chi square Weibull. (c)
if it was XN(6) Between that - the Mean deviation in this distribution is 2 6 T the First Spring is Q-μ- 0.676 And the third Spring is or μ+ 0.676
Q.7 For an exponential distribution fx(x; 4) = {4e*; Sue Hx, x 2 0 e.w. where u > 0 Write (Don't derive) (a) Mean (expected value), i.e. EX). (b) Standard deviation, i.e. S. D. (X). (c) Moment generating function, i.e. Mx(t). (d) Cumulative distribution function (cdf), Fx(x). of Nizy
PLEASE ANSWER B,C,D
Q.7 For an exponential distribution fx(x; 4) = (ue Hx: x 20 %3D where u > 0 Write (Don't derive) (a) Mean (expected value), i.e. E(X). (b) Standard deviation, i.e. S.D. (X). (c) Moment generating function, i.e. Mx(t). (d) Cumulative distribution function (cdf), Fx(x). of Nizw
Sf(x) = 1/4 te (0, 3) te D= {6}. %3D Suppose that X has mixed distribution Find ¿9, and e, for X = 1.
I need (E) and (F)
Please Answer Q6 attached in the image.
If P(AUB)=0.7, P(AUB')=0.9 what is P(A)?

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