please send correct answer Q6 5. Suppose X-N(0,1) and Q, and Q2 are Chi-Square Random Variables with n, and no degrees of freedom, respectively. Which of the following statements are true?I) Q1/X will have T distribution with n, degrees of freedomII) Q1/n2+Q2/n1 will have a Chi-Square distribution with n + n2 degrees of freedom.III) X2 will have a Chi-Square Distribution with 1 degree of freedomIV) (Q1/n1)/(Q2/n2) will have an F Distribution with n, and n2 degrees of freedomO a) I and III and IV only are trueO b) Il and III only are trueO c) I and III only are trueO d) III and IV only are true6. Suppose an independentmple (X, X2, Xa} is taken from a random variable X having mean u and variance o. Choose the estimator foru which is both unbiased and efficient.O a) (X1/4 + X2 14+ X3/4)O b) (3X4/8 + 3X2/8+ Xg/4)O c) (2X1/8 + 2X2/8 + X3/2)O d) (X1/8 + X2/8 + 3X3/4)

6. Suppose an independent sample (X1, X2, X3) is taken from a random variable X having mean p and variance o. Choose the estimator for u which is both unbiased and efficient. O a) (X1/4 + X2 14+ X3/4) O b) (3X,/8 + 3X2/8+ Xg/4) O c) (2X,/8 + 2X2/8 + Xg/2) O d) (X;/8 + X2/8 + 3X3/4)

6. Suppose an independent sample (X1, X2, X3) is taken from a random variable X having mean p and variance o. Choose the estimator for u which is both unbiased and efficient. O a) (X1/4 + X2 14+ X3/4) O b) (3X,/8 + 3X2/8+ Xg/4) O c) (2X,/8 + 2X2/8 + Xg/2) O d) (X;/8 + X2/8 + 3X3/4)

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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