# Statistics 2 Past Papers

**[OBJECTIVE]**

**Subject:** Statistics-II

**Time Allowed:** 15 Minutes

**Max Marks:** 10

**NOTE:** Attempt this Paper on this Question Sheet only. Please encircle the correct option. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.

__Part-I Answer the following Questions, cutting and overwriting are not allowed. (10)__

The joint probability of two dependent events A and B is:

(a) P (A) + P(B)-P(A⋂B)

(b) P (A) P (B)

(c) P (A) P (B/A)

(d) P (A) + P (B)

P (A)=0.65 P (B) = 0.45, which of the following statements Is true

(a) A and B are dependent

(b) A and B are mutually exclusive

(c) A and B are not mutually exclusive

(d) A and B are independent

If X and Y are two independent variables, then Var (X-Y) is equal to

(a) Var (X) – Var (Y)

(b) Var (x) + Var (Y) – 2 cov (X, Y)

(c) Var (X) + Var (Y)

(d) None of above

The Cumulative distribution function of a random variable X denoted by F (a) is defined as

(a) F (a) = P(X ≤ sa)

(b) F(a) = P(X ≥ a)

(c) F (a) = P(X=x)

(d) None of above.

For binomial distribution b (x; 12, 0.6), the mean is:

(a) 6

(b) 7.2

(c) 2.88

(d) 1.70

A binomial distribution may be approximated by a Poisson distribution when:

(a) n is large and P is small

(b) n is small and P is large

(c) Both n and P are small

(d) Both n and P are large

Variance of a hyper geometric distribution, h (x; N, n, K) Is:

(a) mP

(b) nPq

(d) None of these

**8**. A continuous probability distribution is not represented by:

(a) A graph

(b) A table

(c) A Mathematical function

(d) A density function

For a normal distribution with mean 40 and variance 10, how much area will be scanned to left of X = 40

(a) 0.65

(b) 9.5

(c) 095

(d) Zero

In a normal distribution N(s,0}) Quartile deviation is equal to:

(a) 4

(b) 2

(c) 2

(d) 0.950

**[SUBJECTIVE]**

**Subject:** Statistics-II

**Time Allowed:** 2 Hours 45 Minutes

**Max Marks:** 50

**NOTE:** ATTEMPT THIS (SUBJECTIVE) ON SEPARATE ANSWER SHEET PROVIDED

__Part-II Give Short Answers, Each question carries equal marks. (20)__

**Q#**1: Moment generating function

**Q#**2: Baye’s theorem

**Q#**3: Mathematical expectation

**Q#**4: Four properties of Normal distribution

**Q#**5: Poisson distribution

__Part-III Give Long Answers, Each question carries equal marks. (30)__

**Q#**3: If 3 books are picked at random from a shelf containing 6 novels, 4 poems books and a dictionary, what is the probability that

**(a)** The dictionary is selected,

**(b)** 2 novels and 1 poem book are selected?

**Q#**4: The probability that a married man watches a certain T.V. show Is 0.4 and the probability that his wife watches the show is 0.5. The probability that a man watches the show given that his wife does is 0.7. Find the probability that

**(a)** a wife watches the show, given that her husband does,

**(b)** At least one person of a married couple will watch the show.

**Q#**5: A continuous random variable X that can assume values between 2 and 5 has density function given by

f (x) = A (1 +x)

Find **(a)** A

**(b)** median

**(c)** P(3 ≤ X ≤ 4)

**Q#**6: ‘The IQs of 1000 applicant to a certain college are approximately normally distributed with a mean of 110 and a standard deviation of 15. If the college required an 1Q of at least 95, how many of these students will be rejected on this basis?

**Q#**7: Derive Mean-deviation about median for normal distribution(y, o).

**Q#**8: For a Poisson distribution P (X = 1) = 0.3650 and P (X = 2) = 0.1608 find P (X = 3)

**[OBJECTIVE]**

**Subject:** Sociology-II

**Time Allowed:** 15 Minutes

**Max Marks:** 10

**NOTE:** Attempt this Paper on this Question Sheet only. Please encircle the correct option. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.

__Part-I Answer the following Questions, cutting and overwriting are not allowed. (10)__

1. Socialization in children takes place.

a. In the same class

b. among the children of different classes

c. between lower and middle classes

d. both a and c

2. The lower class is often considered to be living

a. Culture of poverty

b. Culture of lower class

c. Mere poverty

d. None of these

3. Social relations are directly proportional to:

a. Sociology

b. Social status

c. Caste system

d. None of these

4. Which of the following is NOT a social class in the United States?

a. Untouchables

b. Upper class

c. Middle Class

d. Lower Class

5. Is a segment of a population whose members hold similar amounts of scarce resources and share values, norms, and an identifiable lifestyle.

a. Group

b. Social class

c. Caste

d. Primary group

6. A change in society creates through:

a. Social movement b. Social behavior

c. Collective behavior d. Social control

7. The word stratification derives from the geological concept “Strata” meaning.

a. Class b. Groups

c. Rock Layers d. None of these

8. Social stratification is:

a. a system in which people can change their status with relative ease.

b. the ranking or grading of individuals and groups into hierarchical layers

c. based entirely on self-classification

d. None of the above

9. A stratum of people of similar positions in the social status continuum are termed as:

a. Social class

b. Clan or tribe

c. Community

d. None of these

10. Each social class is a subculture with a system of:

a. Behavior

b. Set of values

c. Way of life

d. All of above

**[SUBJECTIVE]**

**Subject:** Sociology-II

**Time Allowed:** 2 Hours 45 Minutes

**Max Marks:** 50

**NOTE:** ATTEMPT THIS (SUBJECTIVE) ON SEPARATE ANSWER SHEET PROVIDED

__Part-II Give Short Answers, Each question carries equal marks. (20)__

**Q#**1: Status and role

**Q#**2: Religion

**Q#**3: Education

**Q#**4: Health & Medicine

__Part-III Give Long Answers, Each question carries equal marks. (30)__

**Q#**1: What is Political Institution? Give its functions with reference to Pakistani Society?

**Q#**2: Explain in detail the demographic and environmental aspects of social change within the context of Pakistani context.

**Q#**3: Write a note on social mobility and its types.

**[OBJECTIVE]**

**Subject:** Sociology-II (MAS)

**Time Allowed:** 15 Minutes

**Max Marks:** 10

**NOTE:** Attempt this Paper on this Question Sheet only. Please encircle the correct option. Division of marks is given in front of each question. This Paper will be collected back after expiry of time limit mentioned above.

** Part-I Answer the following Questions, cutting and overwriting are not allowed. (10)**1. Religious organizations tend to fall into

a. Four types

b. Two types

c. Three types

d. Six types

2. When studying social stratification, how many different dimensions did we look at

a. 2

b. 5

c. 4

d. 3

3. Which dimension of social stratification describes recognition, respect, and admiration attached to social positions?

a. Wealth

b. Power

c. Prestige

d. Honor

4. A change in society creates through

a. Social movement

b. Social behavior

c. Collective behavior

d. Social control

5. Major issues facing high-income countries are

a. Capital flight

b. Deindustrialization

c. Industrialization

d. A and B

6. A Group of people affiliated by consanguinity affinity and co-residence is.

a. Neighbor hood

b. Class

c. Family

d. None of these

7. Which of the following is considered a total institution?

a. A university

b. A mental hospital

c. A factory

d. Each of the above

8. Which sociological perspective emphasizes that government has a strong interest in encouraging adoption?

a. Functionalist perspective

b. Conflict perspective

c. Interactionist perspective

d. labeling theory

9. Media comes from a word medium.

a. Greek

b. Latin

c. French

d. Spanish

10. Religion also contributes to bitter and often bloody conflict and a tool of:

a. Exploitation

b. Revolution

c. Society

d. Rights

**[SUBJECTIVE]**

**Subject:** Sociology-II (MAS)

**Time Allowed:** 2 Hours 45 Minutes

**Max Marks:** 50

**NOTE:** ATTEMPT THIS (SUBJECTIVE) ON SEPARATE ANSWER SHEET PROVIDED

__Part-II Give Short Answers, Each question carries equal marks. (20)__

**Q#**1: Global Stratification

**Q#**2: Mass Communication

**Q#**3: The Economy and Work

**Q#**4: Politics and Government

__Part-III Give Long Answers, Each question carries equal marks. (30)__

**Q#**1: What are the class and caste system? Briefly explain the dimensions of stratification within the context of Pakistani society?

**Q#**2: What is Social change? Explain causes of social change within the context of Pakistani society.

**Q#**3: Explain the role of Mass Media in forming Public opinion.