16,

17.

18,

19.

20.

21.

If X is a non - negative random variable with distribution function F, then which of the
following represents E(X) ?

வி [பவன ಟಿ ‏شرم‎
‎(८) [मी യു [மை

॥ probability that a contractor will get a plumbing contract is 2/3 and the probability that
he will not get an electric contract is 5/9. 1f the probability of getting at least one contract is
4/5, what is the probability that ‏عط‎ will get both contracts 7

(മ) 5 ൫ 4/5 (©) 14/45 (೧) 1

Let {X,] be a sequence 018 1.1.6, random variable with E(X,?) < =. Let

Sp = Y1, Xi, o =Var(X,)> 0 and Z~N (0,1). Then,

5-6 ‏اد بيك‎ d 7
(५) പര്‍ ‏وی‎ ക. ~ ‏وب‎
‎% 0 10
5-8
4 ಇ "ರಾಜ (ಡಿ ஆக
(ಲಿ ‏.مل‎ 8)
Which type of convergence is used in central limit theorem ?
(வ) Convergence in probability (B} Convergence in ' mean
© Convergence in Law (D) None of these

Which of the following is not a characteristic function ?

2 ⋅ ∙∣
ര ബി (0) (೨2೩೦2

விக

(+) (४)

e 1+ cost
If P,(s) denote the p.g.f of the random variable X, then the p.g.f of Y=mX+n, where
m, n are integers (m #0) is given by :

(५) ளு (B) sP,(s™) (ಲ). 5ಗ,(9) ப யை

Let X and Y be independent standard normal random variables. Then the distribution of
வலிவு
ആ) 8
(ക) Chi - square distribution with 2 d.f
18) Chi - square distribution with 1 d.f
(C) F distribution with (2, 2) d.f
‏(ط)‎ F distribution with (1, 1) d.f

5 122/2014
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