Exercise 5.An observed IID sample of size n = 100 from a continuous distribution, say dist(X1), was generated.The resulting data wereX =24.5 19.9 20.8 21.1 24.4 10.9 15.4 25 18.1 40.225.9 29.5 11.5 21.9 13.8 30.1 19 24.1 21.2 29.724.3 19.1 24.1 46.9 16.9 7.7 26.1 11.2 17.7 29.533.2 20.5 26.6 29 22.7 25.3 28.1 47.6 41.5 24.137.1 30.6 25.5 24 16.1 34.5 26 33.4 28.2 26.525.4 22.1 35.8 19.5 37.2 10.3 35.5 31.7 26.6 17.318.3 30.8 17.6 26.8 17.2 13.4 14.2 19.5 23.8 22.79.4 17.8 15.3 26.7 10.5 23.7 41.1 23.7 13.5 16.933.4 35.5 38.2 12.6 17.1 24 22 39 19.7 26.332.2 18.8 8.1 23.3 28.4 36.2 28.7 37.1 12.6 14.9(b) What is your guess at E(X1) and var(X1)? Explain why you expect your guess to be reasonable.(d) You are given one more piece of information: X1 ~ Gamma(a, ß), for some a > 0, B > 0.Use the LLN and your answers to part (a) to estimate the shape a and scale B.Hint: E(X,) = aß and var(X,) = aß? can be estimated using x and s2, respectively.

Given information: The data represents the values of the variable X1.

Answered: An observed IID sample of size n = 100…

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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An observed IID sample of size n = 100 from a continuous distribution, say dist(X1), was generated. The resulting data were X = 24.5 19.9 20.8 21.1 24.4 10.9 15.4 25 18.1 40.2 25.9 29.5 11.5 21.9 13.8 30.1 19 24.1 21.2 29.7 24 1 11 17 7 20 p