The following are the two statements relating to the theory of probability. Indicate the statements being correct or incorrect. Statement I The probability of the joint occurrence of independent events A and B is equal to the probability of event A multiplied by the probability of event B or vice-versa. Statement II The probability of the joint occurrence of independent event A and dependent event B is equal to the probability of event A multiplied by the conditionalprobability of event B when event A has occurredor vice-versa.

Which of the following statements are true?
1. The classical approach to probability theory requires that the total number of possible outcomes be known or calculated and that each of the outcomes be equally likely.
2. A marginal probability is also known as unconditional probability.
3. For three independent events, the joint probability of the three events, P (ABC) = P (A) × P (B/A) × P (C/AB)
4. Two events are mutually exclusive, exhaustive and equally likely, the probability of either event A or B or both occurring P(A or B) = P(A) + P(B)

A

Both 1 and 3

B

Both 3 and 4

C

1, 2 and 4

D

All of the above

Which of the following statements are true/false?
1. Trusteeship theory is also known as paternalistic theory.
2. The Philanthropic theory is based on the fact that man is a religious being.
3. The Functional theory is also known as efficiency theory.
4. Efficiency theory assumes that big business houses have the social responsibility and moral obligations of providing good working conditions.

A

1, 4 are true and 2, 3 are false

B

1, 3 are true and 2, 4 are false

C

2, 4 are true and 1, 3 are false

D

3, 4 are true and 2, 1 are false

It is estimated that average number of events during an year is three. What is the probability of occurrence of not more than two events over a two year duration? Assume that the number of events follow a Poisson's distribution.

A

0.052

B

0.062

C

0.072

D

0.082

Which of the following statements are true relating to payment of equal pay for equal work both for men and women?
1. ILO adopted equal remuneration Convention No. 100 in 1951.
2. India ratified ILO's Equal Remuneration Convention No. 100 in the year 1956.
3. Provisions relating to equal pay for equal work for both men and women are provided under Article 42 of the Indian Constitution.
4. The Equal Remuneration Ordinance was promulgated on 26^th September, 1975.

A

Both 1 and 4 are correct

B

Both 2 and 3 are correct

C

1, 3 and 4 are correct

D

1, 2 and 4 are correct

Which of the following statements relating to the Trade Unions Act, 1926 are correct?
1. The act gives the definition of a trade union.
2. There is a provision in the act relating to decent work.
3. There is a provision in the act relating to the unfair labour practices.
4. There is a provision in the act relating to political fund.
Select the correct answer

A

2 and 3

B

3 and 4

C

1 and 2

D

1 and 4

Direction : Two statements I and II are given. These statement may be either independent causes or may be effects of independent causes or a common cause. One of these statements may be the effect of the other statements. Read both the statements and decide which of the following answer choice correctly depicts the relationship between these two statements. Mark answer :

I. The university authority has instructed all the colleges under its jurisdiction to ban use of all phones inside the college premises.
II. Majority of the teachers of the colleges signed a joint petition to the university complaining the disturbances caused by cell phone ring-tones inside the classrooms.

A

Statement I is the cause and statement II is its effect

B

Statement II is the cause and statement I is its effect

C

Both the statements I and II are independent causes

D

Both the statements I and II are effects of independent causes

E

Both the statements I and II are effects of some common cause

In each of the followingquestions, two statements numbered I andII are given. These may to cause and effectrelationship between the two statements.These two statements may be the effect ofthe same cause or independent causes.These statements may be independentcauses without having any relationship.Read both the statements in each questionand mark your answer as: Statements:
I. The university has instructed al thecolleges under its jurisdiction to ban use ofmobile phones inside the college premises.
II. Majority of the teachers of the collegessigned a joint petition to the universitycomplaining the disturbances.

A

If statement I is the cause and II is its\effect.

B

If statement II is the cause and I is its\effect.

C

If both the statements I and II are\independent causes.

D

If both the statements I and II are\effects of independent causes.

Direction : Two statements I and II are given. These statement may be either independent causes or may be effects of independent causes or a common cause. One of these statements may be the effect of the other statements. Read both the statements and decide which of the following answer choice correctly depicts the relationship between these two statements. Mark answer :I. Importance of Yoga and exercise is being realized by all sections of the society.II. There is an increasing awareness about health in the society particularly among middle aged of people.

A

If statement I is the cause and statement II is its effect.

B

If statement II is the cause and statement I is its effect.

C

If both the satements I and II are independent causes.

D

If both the statements I and II are effects of independent causes.

E

If both the statement I and II are effects of some common cause.

Which of the following statements relating to correlation and reegression are true?
1. The coefficient of correlation is independent of change of origin and scale
2. The coefficient of correlation between the two variables is the arithmetic average of the two regression coefficients
3. The probable error of the coefficient correlation is 0.6745 times of its standard error
4. Coefficient of correlation multiplied by the ratio between the standard deviations of the two variables denotes the slope of the regression line
Select the correct answer:

A

1, 2 and 3

B

1, 3 and 4

C

Both 2 and 4

D

2, 3 and 4

What are the reasons due to which a person could be considered unfit for registration in the electoral roll?
1. Being an Indian citizen
2. Being of unsound mind and standing declared as such by a competent court
3. Disqualified from voting for the time being under the provisions of any law relating to corrupt practices and other offences in connection with elections
4. Being less than 18 years of age
5. Being ordinarily resident of a constituency

A

None of these

B

2 and 5

C

3 and 5

D

2, 3 and 4