UGC NET Management Previous Year Solved Papers - November 2017
31. Which one of the following statements is false?
- A
Sample space refers to the collection of all favourable outcomes of an experiment.
- B
Collectively exhaustive events are those whose union is sample space.
- C
All the outcomes of an experiment are known as sample space.
- D
Two events are said to be independent if the happening of one does not affect the probability of happening of the other.
- Option : A
- Explanation : Sample Space: It is a set of all possible outcomes of an experiment. It is usually represented as S. For example, if the random experiment is rolling of a die, the sample
space is a set, S = [1, 2, 3, 4, 5, 6].
Similarly, if the random experiment is tossing of three coins, the sample space is, S = [HHH, HHT, HTH, THH, HTT, THT, TTH, TTT] with total of 8 possible outcomes. (H is heads, and T is Tails showing up.)
If we select a random sample of 2 items from a production lot and check them for defect, the sample space will be S = [DD, DS, DR, RS, RR, SS] where D stands for defective, S stands for serviceable and R stands for reworkable.
32. Which one of the following is a false statement?
- Option : A
- Explanation : Binomial Distribution: The binomial distribution is usually exemplified by flipping a coin. The result can have only two outcomes, heads or tails, each of which has equal probability. The probability of either outcome remains the same throughout the experiment. The binomial distribution therefore describes the probability that in a finite number of trials (coin flips), there will be a specified number of heads (successes) or a specified number of tails (failures). The general form of the binomial distributions is where n is the number of trials, r is the number of successes.
33. Which one of the following statements is true?
- A
If one of the regression coefficients is greater than one, the other must also be greater than one.
- B
The product of the two regression coefficients is always more than one.
- C
Correlation coefficient is the arithmetic mean of the two regression coefficients.
- D
The signs of the two regression coefficients are always the same.
- Option : D
- Explanation : Properties of Regression Coefficients:
Following are the important properties of Regression Coefficients:
> Same sign: Both regression coefficients have the same signs, i.e., either they will be positive or negative.
> Both can not be greater than one: If one of the regression coefficients is greater than unity, the either must be less than unity to the extent the product of both regression coefficients is less than unity. In other words, both the regression coefficients cannot be greater than one.
> Independent of origin: Regression coefficients are independent of the origin but not of scale.
> A.M. > r: Arithmetic mean of regression coefficients is greater than the correlation coefficient.
35. Match the items of List-I with List-II and select the code of correct matching :
| List–I | List–II |
| (a) Merger of Vodafone and Idea | (i) Business Strategy |
| (b) Launch of Apple iphone 7 plus | (ii) Operational Strategy |
| (c) Manufacturing Samsung mobile handsets in India | (iii) Corporate Strategy |
