Statistics Multiple Choice Questions (MCQ)

1-The mean and Variance of geometric distribution are
(A) p/q and p/q
(B) q/p and q/p
(C) q/p and q/p²
(D) p/q and p²/q
2-For Binomial distribution n = 10 and p = 0.6, E(X²) is
(A) 10
(B) 28
(C) 36
(D) 38.4
3-A letter of the English alphabet is chosen at random. The probability that the letter so chosen follows the letter ‘M’ and is a vowel is
(A) 1/26
(B) 1/13
(C) 3/26
(D) 2/13
4-If T₁ is the most efficient estimators with variance V₁ and T₂ is another estimator with variance V₂ then the efficiency of T₂ is given by
(A) V₁ – V₂
(B) V₂ – V₁
(C) V₁ / V₂
(D) V₂ / V₁
5-A uniformly most powerful test among the class of unbiased test is termed as:
(A) Optimum biased test
(B) Uniformly most-powerful unbiased test
(C) Minimax unbiased test
(D) Minimax test
6-In 256 sets of twelve tosses of a fair coin, in how many cases may one except eight heads and four tails?
(A) 20
(B) 22
(C) 27
(D) 31
7-Which of the following is a symmetrical distribution?
(A) t
(B) F
(C) χ²
(D) β
8-An estimator is said to be sufficient for a parameter, if
(A) it contains all the information in the sample regarding the parameters
(B) the variance of the estimator is less
(C) the mathematical expectation of the estimator is equal to the parameter
(D) it contains parameters
9-The family of parametric distributions, for which the mean and variance does not exist.
(A) Polya’s distribution
(B) Cauchy distribution
(C) Negative Binomial distribution
(D) Normal distribution
10-H₀ : μ = μ₀ is an example for
(A) Direct Hypothesis
(B) Alternate Hypothesis
(C) Composite Hypothesis
(D) Simple Hypothesis
ANSWERS:
1-(C), 2-(D), 3-(B), 4-(C), 5-(B), 6-(D), 7-(A), 8-(A), 9-(B), 10-(C)