Which of the following statements are true ? (A) Central limit theorem states that the sampling distribution of the mean ( $\bar x$ ) approaches a normal distribution as the sample size increases. (B) As per Central Limit Theorem , when the sample size increases, the mean ( $\bar x$ ) for the data becomes closer to the mean of overall population . (C) The shape of t-distribution does not depend on degree of freedom. Choose the correct answer from the options given below :

Question

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The correct option is (C): (A) only

Answer

(A), (C) only

Answer

(B), (C) only

Answer

Answer

X	0	1	2	otherwise
P(X)	k	2k	3k	0

X	1	2	3	4	5	6	7
P(X)	k	2k	2k	3k	k²	2k²	7k² + k

List-I	List-II
(A) k	(I) 7/10
(B) P(X < 3)	(II) 53/100
(C) P(X ≥ 2)	(III) 1/10
(D) P(2 < X ≤ 7)	(IV) 3/10

X	0	1	2	otherwise
P(X)	k	2k	3k	0

The Correct Option is C

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