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Choose UTE Com ) Let X.XX, be a random sample from n(u,100). If P(u-5

Choose UTE Com ) Let X.XX, be a random sample from n(u,100). If P(u-5

A First Course in Probability (10th Edition)
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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Oose the correct answ Tollowing: (Note: Ans I) Let Xj. X2X, be a random sample from n(u,100). If P(u-5<X<u+5) 0.9042, then the value of n is: a) 5. b) 10. c) 9. d) 100. 2) Let X, X, be two independent random variables such that X,- n(0,1), X,-z (n). The distribution of Y X/ is: a) t(1) b) F(n,1) c) z') d) F(1,n) 3) If X,X3X and Y, Y,Y6 are two random samples that distributed n(0,4), n(0,25) respectively, then the distribution of 2X-F is: a) n(0,2.05) b) n(0,7.85) c) n(0,1.88) d) n(0,1.64) 4) If X be a r.v. having t-distribution, then the value of e such that P(X>c)=0.05 is a) 0.718. b) 1.9429. c) 1.8948. d) 2.4469. 5) Let X be a r.v. from standard normal distribution n(0,1). If Y = X + X+ x3, then the distribution of Y is: a) n(2,4) b) z3) c) n(0,4) d) z'(9) 6) Let X, X, be rwo independent random variables from probability function that defined as fallows: x= 1,2
Transcribed Image Text:Oose the correct answ Tollowing: (Note: Ans I) Let Xj. X2X, be a random sample from n(u,100). If P(u-5<X<u+5) 0.9042, then the value of n is: a) 5. b) 10. c) 9. d) 100. 2) Let X, X, be two independent random variables such that X,- n(0,1), X,-z (n). The distribution of Y X/ is: a) t(1) b) F(n,1) c) z') d) F(1,n) 3) If X,X3X and Y, Y,Y6 are two random samples that distributed n(0,4), n(0,25) respectively, then the distribution of 2X-F is: a) n(0,2.05) b) n(0,7.85) c) n(0,1.88) d) n(0,1.64) 4) If X be a r.v. having t-distribution, then the value of e such that P(X>c)=0.05 is a) 0.718. b) 1.9429. c) 1.8948. d) 2.4469. 5) Let X be a r.v. from standard normal distribution n(0,1). If Y = X + X+ x3, then the distribution of Y is: a) n(2,4) b) z3) c) n(0,4) d) z'(9) 6) Let X, X, be rwo independent random variables from probability function that defined as fallows: x= 1,2
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