7) Let X,. X, be two independent random variables such that X,- x'(n), X2-x (m). If Y-/, then the distribution of Y is: a) n(n, m) b) F(n, m) c) F(m, n) d) z(m)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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7) Let X,. X, be two independent random variables such that X, - x'(n), X2 - x*(m). If
Y-X/X, then the distribution of Y is:
a) n(a, m)
b) F(n, m)
c) F(m,n)
d) z*(m)
8) Let Y, <Y, <Y, be an order statistic for random sample of size 3 from p.d.f.
S(x) = 2r, 0<r<l
If Z, = Y, - Y,, Z, = Y,, then P(Y, <Y,) is:
a) g(z,) =-32 +72,-
0<z, <l
1> z>0
-1<z, <1
b) g(z,) =-32 +7z, -;
e) g(4) =-3 +75, -
d) g(z,) =-32 +72, -
-l<z, <1
9) If X.X3 X, be a random sample with size 10 from a(u,a), then the distribution of
a) z*(10)
Transcribed Image Text:7) Let X,. X, be two independent random variables such that X, - x'(n), X2 - x*(m). If Y-X/X, then the distribution of Y is: a) n(a, m) b) F(n, m) c) F(m,n) d) z*(m) 8) Let Y, <Y, <Y, be an order statistic for random sample of size 3 from p.d.f. S(x) = 2r, 0<r<l If Z, = Y, - Y,, Z, = Y,, then P(Y, <Y,) is: a) g(z,) =-32 +72,- 0<z, <l 1> z>0 -1<z, <1 b) g(z,) =-32 +7z, -; e) g(4) =-3 +75, - d) g(z,) =-32 +72, - -l<z, <1 9) If X.X3 X, be a random sample with size 10 from a(u,a), then the distribution of a) z*(10)
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