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25.

26.

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ರ್‌

The distribution function F of a two - dimensional random variable satisfies, for
(गा, ४1)" (५२ #2), न < %5 Yy
(ಗಿ) ₹2 - 8೧. ೫) * 80.೫0 - ಗಜ) ೨0

ദ ഇ - ೫೧. ೪) * ₹೫) * ೫೧.೪೫) ೫0

(ಲಿ) ೫,೫) * 80, 8) - 8% ೫) - ‏وقاظ‎ 20

(ग) ५ भरा) + 72 1 ரு - യും 1) 50

If pyy is the correlation between X and Y, then correlation between U=a+cX and V=b—dY,
(च, 0, ५, ५ > 0) 15 :

ध्व b
‏(ھ)‎ മ (8) “ഒ. (ಲಿ ४ (D) ॐ

Ina partially destroyed laboratory record of an analysis of correlation data, only the following
regression equations are legible :

8> - 10४ +66 = 0

0 = 214 - ر18 - 403

Then the mean value of Y is :

(A) 13 (8) 17 (೧) 18 (D) 66

If X~ Poisson (A), Y~ Poisson(A,) and X and Y are independent, then the conditional
distribution of X given X + Y is :

(ಗಿ) Binomial (B) ண்ண
(C) Negative binomial (D) None of these

If X and Y are random variables with distribution functions F(x) =1—-e~* and ©(/) =1-९- ॐ
respectively, then E[F(Y) + 2g(X)] is :
(है) 0 B 1 (5) 3/2 D =

The distribution of X, =Max.(X}, X5....X), where X, X,,....X,, are iid. p (« 1) is:
(A) Blan, 1) 8) Bl [5) ஙு (2) Blen, n)

1
If X follows Pareto distribution, then the distribution of ¥ = X is:

(५) Cauchy (8) Pareto (¢) Uniform (D) ஸ்வ

If the moment generating function of X is M(t) = ಪೀ + கன்‌ + ன்‌, then its mean and

variance are respectively ‏٭‎
‎(A) 2and 05 )80( 188 (C) 2and 0.8 (D) 1and 05

122/2014 6 A