A Example 17-50. Obtain 100 (1 – a)% confidence limits (for large samples) for theparameter 1 of the Poisson distribution :e-^ . 2*f(x, 1) =-;x = 0,1, 2,...x !

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Answered: A Example 17-50. Obtain 100 (1 – a)%…

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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4.2 The probability distribution of the discrete random variable X is f(x) = 3 (*)*** Find the mean of X. 3-x (¹)ª (²³)³—ª, x = 0, 1, 2, 3.
3. Fill in the blank spaces of table B1 using information compiled in table B. Table B Breusch-Godfrey Serial Correlation LM Test: Prob. F(2,55) Prob. Chi-Square(2) F-statistic 11.70006 0.0001 Obs*R-squared 17.90823 0.0001 Table B1: Breusch-Godfrey Serial Correlation LM Test F-statistic: Probability: a. Write down the null and alternative hypotheses underlying Breusch-Godfrey serial correlation (autocorrelation) test. b. Will you accept or reject the null hypothesis based on the Breusch-Godfrey test for residual autocorrelation? Why or why not?
4-52. If f(x) =e ,- co
need answer of all parts in details. your answer will be appreciated.
7. Prove or disprove that the following function is a cumulative distribution function (cdf). If the function is a cdf, is the random variable continuous or discrete? Why? (Note: This is a special case of a logistic distribution.) Fx(x)= 1 1+ e-z -∞<<∞.
Q.4-52
QUESTION 1 a) Let X₁, X2, X3,..., Xn be a random sample of size n from population X. Suppose that X follows an exponential distribution with parameter and Y = =-=1X₁. 19 iii) What is the value of sample size n, if P(|Y - 2n| < 40) ≥ 0.025? iv) Use the Central Limit Theorem to compute P(100
QUESTION 4 X - H Let X be a random variable and Z = be a function of X. a) Show that X has mean µ and variance o where Z~N(0, 1), b) Determine the parameters for X if P(X > 80)= 0.05 and P(X < 50)=0.10. c) If P(60 < X < k) = 0.5771, find k. %3D
Ch. 6.1 CI What sample size is needed to give the desired margin of error in estimating a population proportion with the indicated level of confidence? (16) A margin of error within +/- 1% with 99% confidence. (18) A margin of error within +/- 2% with 95% confidence. An initial small sample has p-hat=0.78
Question 3: Let the random variable X'be the amount of error in a recently calibrated machine. Suppose X'has pdf f(x) = 0.75(1-x²) -1≤x≤1 a) What is the probability that the error is between — and ½? b) Find the expected amount of error.
Example 17.37. (a) Let x1, x2, ..., Xn be a random sample from the uniform distribution with p.d.f. : 1,0 0 f(x, 0) 0, elsewhere Obtain the maximum likelihood estimator for 0.
part iv (i already asked other parts)

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A Example 17-50. Obtain 100 (1 – a)% confidence limits (for large samples) for the parameter 1 of the Poisson distribution : f(x, 1) = e-A. 2* -;x = 0, 1, 2,... %3D х!